Finding the Third Proportional to 284,420 and 614,452
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Solution
The third proportional to 284,420 and 614,452 is: 1,327,442.73
Step by Step Solution
- Step 1: Write the proportion equation
284,420 : 614,452 = 614,452 : x - Step 2: Convert to fraction form
284,420/614,452 = 614,452/x - Step 3: Cross multiply
284,420x = 614,452 × 614,452 - Step 4: Simplify right side
284,420x = 377,551,260,304 - Step 5: Solve for x
x = 377,551,260,304/284,420 - Step 6: Final answer
x = 1,327,442.73
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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.