Finding the Third Proportional to 284,892 and 614,916
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Solution
The third proportional to 284,892 and 614,916 is: 1,327,245.72
Step by Step Solution
- Step 1: Write the proportion equation
284,892 : 614,916 = 614,916 : x - Step 2: Convert to fraction form
284,892/614,916 = 614,916/x - Step 3: Cross multiply
284,892x = 614,916 × 614,916 - Step 4: Simplify right side
284,892x = 378,121,687,056 - Step 5: Solve for x
x = 378,121,687,056/284,892 - Step 6: Final answer
x = 1,327,245.72
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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.