Finding the Third Proportional to 284,423 and 614,458
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Solution
The third proportional to 284,423 and 614,458 is: 1,327,454.65
Step by Step Solution
- Step 1: Write the proportion equation
284,423 : 614,458 = 614,458 : x - Step 2: Convert to fraction form
284,423/614,458 = 614,458/x - Step 3: Cross multiply
284,423x = 614,458 × 614,458 - Step 4: Simplify right side
284,423x = 377,558,633,764 - Step 5: Solve for x
x = 377,558,633,764/284,423 - Step 6: Final answer
x = 1,327,454.65
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.