Finding the Third Proportional to 226,092 and 491,496
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Solution
The third proportional to 226,092 and 491,496 is: 1,068,451.42
Step by Step Solution
- Step 1: Write the proportion equation
226,092 : 491,496 = 491,496 : x - Step 2: Convert to fraction form
226,092/491,496 = 491,496/x - Step 3: Cross multiply
226,092x = 491,496 × 491,496 - Step 4: Simplify right side
226,092x = 241,568,318,016 - Step 5: Solve for x
x = 241,568,318,016/226,092 - Step 6: Final answer
x = 1,068,451.42
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.