Finding the Third Proportional to 429,314 and 932,464
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Solution
The third proportional to 429,314 and 932,464 is: 2,025,298.76
Step by Step Solution
- Step 1: Write the proportion equation
429,314 : 932,464 = 932,464 : x - Step 2: Convert to fraction form
429,314/932,464 = 932,464/x - Step 3: Cross multiply
429,314x = 932,464 × 932,464 - Step 4: Simplify right side
429,314x = 869,489,111,296 - Step 5: Solve for x
x = 869,489,111,296/429,314 - Step 6: Final answer
x = 2,025,298.76
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.