Help with a math riddle??? the first three numbers are 3 digits squared of the same

september23grace

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base number, and the next? find the following 7 number sequence:

the first three numbers are 3 digits squared of the same base number, and the next four digits are a different(second) base number, that base number squared, and that base number(the second base number) cubed twice.

*there are 4 different possibilities
 
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