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Finding the Third Proportional to 251,745 and 547,317

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Solution

The third proportional to 251,745 and 547,317 is: 1,189,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,745 : 547,317 = 547,317 : x
  2. Step 2: Convert to fraction form
    251,745/547,317 = 547,317/x
  3. Step 3: Cross multiply
    251,745x = 547,317 × 547,317
  4. Step 4: Simplify right side
    251,745x = 299,555,898,489
  5. Step 5: Solve for x
    x = 299,555,898,489/251,745
  6. Step 6: Final answer
    x = 1,189,917.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.