Finding the Third Proportional to 284,412 and 614,436
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Solution
The third proportional to 284,412 and 614,436 is: 1,327,410.93
Step by Step Solution
- Step 1: Write the proportion equation
284,412 : 614,436 = 614,436 : x - Step 2: Convert to fraction form
284,412/614,436 = 614,436/x - Step 3: Cross multiply
284,412x = 614,436 × 614,436 - Step 4: Simplify right side
284,412x = 377,531,598,096 - Step 5: Solve for x
x = 377,531,598,096/284,412 - Step 6: Final answer
x = 1,327,410.93
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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.