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Finding the Third Proportional to 268,861 and 412,691

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Solution

The third proportional to 268,861 and 412,691 is: 633,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,861 : 412,691 = 412,691 : x
  2. Step 2: Convert to fraction form
    268,861/412,691 = 412,691/x
  3. Step 3: Cross multiply
    268,861x = 412,691 × 412,691
  4. Step 4: Simplify right side
    268,861x = 170,313,861,481
  5. Step 5: Solve for x
    x = 170,313,861,481/268,861
  6. Step 6: Final answer
    x = 633,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.