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Finding the Third Proportional to 267,080 and 541,536

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Solution

The third proportional to 267,080 and 541,536 is: 1,098,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,080 : 541,536 = 541,536 : x
  2. Step 2: Convert to fraction form
    267,080/541,536 = 541,536/x
  3. Step 3: Cross multiply
    267,080x = 541,536 × 541,536
  4. Step 4: Simplify right side
    267,080x = 293,261,239,296
  5. Step 5: Solve for x
    x = 293,261,239,296/267,080
  6. Step 6: Final answer
    x = 1,098,027.70

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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.