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Finding the Third Proportional to 266,049.56 and 413,064.56

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Solution

The third proportional to 266,049.56 and 413,064.56 is: 641,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,049.56 : 413,064.56 = 413,064.56 : x
  2. Step 2: Convert to fraction form
    266,049.56/413,064.56 = 413,064.56/x
  3. Step 3: Cross multiply
    266,049.56x = 413,064.56 × 413,064.56
  4. Step 4: Simplify right side
    266,049.56x = 170,622,332,793.32
  5. Step 5: Solve for x
    x = 170,622,332,793.32/266,049.56
  6. Step 6: Final answer
    x = 641,317.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.