Finding the Third Proportional to 215,280 and 471,436
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Solution
The third proportional to 215,280 and 471,436 is: 1,032,385.28
Step by Step Solution
- Step 1: Write the proportion equation
215,280 : 471,436 = 471,436 : x - Step 2: Convert to fraction form
215,280/471,436 = 471,436/x - Step 3: Cross multiply
215,280x = 471,436 × 471,436 - Step 4: Simplify right side
215,280x = 222,251,902,096 - Step 5: Solve for x
x = 222,251,902,096/215,280 - Step 6: Final answer
x = 1,032,385.28
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.