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Finding the Third Proportional to 267,732 and 392,654

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Solution

The third proportional to 267,732 and 392,654 is: 575,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,732 : 392,654 = 392,654 : x
  2. Step 2: Convert to fraction form
    267,732/392,654 = 392,654/x
  3. Step 3: Cross multiply
    267,732x = 392,654 × 392,654
  4. Step 4: Simplify right side
    267,732x = 154,177,163,716
  5. Step 5: Solve for x
    x = 154,177,163,716/267,732
  6. Step 6: Final answer
    x = 575,863.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.