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                                                                    EXHIBIT 99.3
 
                         NOTICE OF GUARANTEED DELIVERY
                                      FOR
                              PRIMARK CORPORATION
 
     This form or one substantially equivalent hereto must be used to accept the
Exchange Offer of Primark Corporation (the "Company") made pursuant to the
Prospectus, dated                , 1999 (the "Prospectus"), if certificates for
the outstanding 9 1/4% Senior Subordinated Notes due 2008 of the Company (the
"Old Notes") are not immediately available or if the procedure for book-entry
transfer cannot be completed on a timely basis or time will not permit all
required documents to reach State Street Bank and Trust Company, as exchange
agent (the "Exchange Agent") prior to 5:00 P.M., New York City time, on the
Expiration Date of the Exchange Offer. Such form may be delivered or transmitted
by facsimile transmission, mail or hand delivery to the Exchange Agent as set
forth below. In addition, in order to utilize the guaranteed delivery procedure
to tender Old Notes pursuant to the Exchange Offer, a completed, signed and
dated Letter of Transmittal (or facsimile thereof) must also be received by the
Exchange Agent prior to 5:00 P.M., New York City time, on the Expiration Date.
Capitalized terms not defined herein are defined in the Prospectus.
 
                                  Delivery To:
 
              STATE STREET BANK AND TRUST COMPANY, EXCHANGE AGENT
 

                                                 
         By Registered or Certified Mail:                         By Overnight Delivery:
        State Street Bank and Trust Company                 State Street Bank and Trust Company
            Corporate Trust Department                          Corporate Trust Department
                   P.O. Box 778                                   Two International Place
            Boston, Massachusetts 02102                         Boston, Massachusetts 02110
             Attention: Kellie Mullen                            Attention: Kellie Mullen
       By Hand: in New York (as Drop Agent)                         By Hand: in Boston
     State Street Bank and Trust Company, N.A.              State Street Bank and Trust Company
              61 Broadway, 15th Floor                             Two International Place
              Corporate Trust Window                           Fourth Floor, Corporate Trust
             New York, New York 10006                           Boston, Massachusetts 02110

 
                             For Information Call:
                                 (617) 664-5587
 
                           By Facsimile Transmission
                       (for Eligible Institutions only):
                                 (617) 664-5290
 
                     Attention: Corporate Trust Department
 
                             Confirm by Telephone:
                                 (617) 664-5587
 
     DELIVERY OF THIS INSTRUMENT TO AN ADDRESS OTHER THAN AS SET FORTH ABOVE, OR
TRANSMISSION OF INSTRUCTIONS VIA FACSIMILE OTHER THAN AS SET FORTH ABOVE, WILL
NOT CONSTITUTE A VALID DELIVERY.
 
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Ladies and Gentlemen:
 
     Upon the terms and conditions set forth in the Prospectus and the
accompanying Letter of Transmittal, the undersigned hereby tenders to the
Company the principal amount of Old Notes set forth below pursuant to the
guaranteed delivery procedure described in "The Exchange Offer -- Guaranteed
delivery procedures" section of the Prospectus.
 
Principal Amount of Old Notes Tendered:*
 
$ ____________________________________               
                                                    
Certificate Nos. (if available):                    
                                                    
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Total Principal Amount Represented      If Old Notes will be delivered by
by Old Notes Certificate(s):            book-entry transfer to The Depository
                                        Trust Company, provide account number.

$ ____________________________________  Account Number _______________________
 
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       ALL AUTHORITY HEREIN CONFERRED OR AGREED TO BE CONFERRED SHALL SURVIVE
   THE DEATH OR INCAPACITY OF THE UNDERSIGNED AND EVERY OBLIGATION OF THE
   UNDERSIGNED HEREUNDER SHALL BE BINDING UPON THE HEIRS, PERSONAL
   REPRESENTATIVES, SUCCESSORS AND ASSIGNS OF THE UNDERSIGNED.
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                                PLEASE SIGN HERE
 
X ________________________________________________  ____________________________

X ________________________________________________  ____________________________
  SIGNATURE(S) OF OWNER(S) OR AUTHORIZED SIGNATORY              DATE
 
Area Code and Telephone Number: ________________________________________________
 
     Must be signed by the holder(s) of Old Notes as their name(s) appear(s) on
certificates for Old Notes or on a security position listing, or by person(s)
authorized to become registered holder(s) by endorsement and documents
transmitted with this Notice of Guaranteed Delivery. If signature is by a
trustee, executor, administrator, guardian, attorney-in-fact, officer or other
person acting in a fiduciary or representative capacity, such person must set
forth his or her full title below.
 
                      PLEASE PRINT NAME(S) AND ADDRESS(ES)
 
Name(s): _______________________________________________________________________
 
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Capacity: ______________________________________________________________________
 
Address(es): ___________________________________________________________________
 
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* Must be in denominations of principal amount of $1,000 and any integral
  multiple thereof.
 
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                                   GUARANTEE
 
                    (NOT TO BE USED FOR SIGNATURE GUARANTEE)
 
     The undersigned, a financial institution (including most banks, savings and
loan associations and brokerage houses) that is a participant in the Securities
Transfer Agents Medallion Program, the New York Stock Exchange Medallion
Signature Program or the Stock Exchanges Medallion Program, hereby guarantees
that the certificates representing the principal amount of Old Notes tendered
hereby in proper form for transfer, or timely confirmation of the book-entry
transfer of such Old Notes into the Exchange Agent's account at The Depository
Trust Company pursuant to the procedures set forth in "The Exchange
Offer -- Guaranteed delivery procedures" section of the Prospectus, together
with any required signature guarantee and any other documents required by the
Letter of Transmittal, will be received by the Exchange Agent at the address set
forth above, no later than three New York Stock Exchange trading days after the
Expiration Date.
 
Name of Firm: __________________________________________________________________

Address: _______________________________________________________________________
 
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Area Code and Telephone No.: ___________________________________________________
 
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                              AUTHORIZED SIGNATURE
 
Name: __________________________________________________________________________
 
Title: _________________________________________________________________________

Date: __________________________________________________________________________
 
DO NOT SEND CERTIFICATES FOR OLD NOTES WITH THIS FORM. CERTIFICATES FOR OLD
NOTES SHOULD BE SENT ONLY WITH A COPY OF YOUR PREVIOUSLY EXECUTED LETTER OF
TRANSMITTAL.

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