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Finding the Third Proportional to 267,060 and 541,496

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Solution

The third proportional to 267,060 and 541,496 is: 1,097,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,060 : 541,496 = 541,496 : x
  2. Step 2: Convert to fraction form
    267,060/541,496 = 541,496/x
  3. Step 3: Cross multiply
    267,060x = 541,496 × 541,496
  4. Step 4: Simplify right side
    267,060x = 293,217,918,016
  5. Step 5: Solve for x
    x = 293,217,918,016/267,060
  6. Step 6: Final answer
    x = 1,097,947.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.