3 is related to 15 following a certain logic. Following the same logic, 35 is related to 63. To which of the following is 99 related, following the same logic?

Select the related number from the given alternatives. 432 : 9 :: 512 : ?

Choose the option that is related to the first number in the same way that the fourth number is related to the third number and the sixth number is related to the fifth number. 529 : ? :: 729 : 900 :: 441 : 576