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Q.
The mean proportional between two numbers is 56 . If the third proportional of the same two numbers is 448 , then find the sum of the two numbers.
Ratio, Proportion, and Variation
Solution:
(i) If $b^2=a c$, then $b$ is the mean proportional and $c$ is the third proportional.
(ii) Let the two numbers be $a$ and $b$.
(iii) $a b=(56)^2$.
(iv) $b^2=448 a$.