how convert computer ups
If I understand you correctly you wish to change a 12volt 7.2 AH battery with a 12volt 60 AH battery that is part of a 650VA UPS.
If that is the case then there should be no damage to the UPS, It will just be able to supply the load for around 8X more time.
However things to keep in mind:
Recharging time will take much longer (8X) from a complete discharged battery condition.
The load capacity will not increase, still 650VA, just for a longer duration.
New battery will of course not fit in the same space as the smaller one ;-)
Good luck
Lefty