Finding the Third Proportional to 508,646 and 747,381
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Solution
The third proportional to 508,646 and 747,381 is: 1,098,167.21
Step by Step Solution
- Step 1: Write the proportion equation
508,646 : 747,381 = 747,381 : x - Step 2: Convert to fraction form
508,646/747,381 = 747,381/x - Step 3: Cross multiply
508,646x = 747,381 × 747,381 - Step 4: Simplify right side
508,646x = 558,578,359,161 - Step 5: Solve for x
x = 558,578,359,161/508,646 - Step 6: Final answer
x = 1,098,167.21
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.