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Finding the Third Proportional to 266,844.38 and 415,575.56

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Solution

The third proportional to 266,844.38 and 415,575.56 is: 647,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,844.38 : 415,575.56 = 415,575.56 : x
  2. Step 2: Convert to fraction form
    266,844.38/415,575.56 = 415,575.56/x
  3. Step 3: Cross multiply
    266,844.38x = 415,575.56 × 415,575.56
  4. Step 4: Simplify right side
    266,844.38x = 172,703,048,147.19
  5. Step 5: Solve for x
    x = 172,703,048,147.19/266,844.38
  6. Step 6: Final answer
    x = 647,205.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.