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Finding the Third Proportional to 268,327.69 and 587,305.69

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Solution

The third proportional to 268,327.69 and 587,305.69 is: 1,285,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,327.69 : 587,305.69 = 587,305.69 : x
  2. Step 2: Convert to fraction form
    268,327.69/587,305.69 = 587,305.69/x
  3. Step 3: Cross multiply
    268,327.69x = 587,305.69 × 587,305.69
  4. Step 4: Simplify right side
    268,327.69x = 344,927,970,569.85
  5. Step 5: Solve for x
    x = 344,927,970,569.85/268,327.69
  6. Step 6: Final answer
    x = 1,285,472.90

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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.