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Finding the Third Proportional to 267,052 and 541,472

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Solution

The third proportional to 267,052 and 541,472 is: 1,097,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,052 : 541,472 = 541,472 : x
  2. Step 2: Convert to fraction form
    267,052/541,472 = 541,472/x
  3. Step 3: Cross multiply
    267,052x = 541,472 × 541,472
  4. Step 4: Simplify right side
    267,052x = 293,191,926,784
  5. Step 5: Solve for x
    x = 293,191,926,784/267,052
  6. Step 6: Final answer
    x = 1,097,883.28

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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.