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Finding the Third Proportional to 403,767.38 and 588,124.69

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Solution

The third proportional to 403,767.38 and 588,124.69 is: 856,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,767.38 : 588,124.69 = 588,124.69 : x
  2. Step 2: Convert to fraction form
    403,767.38/588,124.69 = 588,124.69/x
  3. Step 3: Cross multiply
    403,767.38x = 588,124.69 × 588,124.69
  4. Step 4: Simplify right side
    403,767.38x = 345,890,648,046.97
  5. Step 5: Solve for x
    x = 345,890,648,046.97/403,767.38
  6. Step 6: Final answer
    x = 856,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.