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Finding the Third Proportional to 251,847 and 548,001

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Solution

The third proportional to 251,847 and 548,001 is: 1,192,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,847 : 548,001 = 548,001 : x
  2. Step 2: Convert to fraction form
    251,847/548,001 = 548,001/x
  3. Step 3: Cross multiply
    251,847x = 548,001 × 548,001
  4. Step 4: Simplify right side
    251,847x = 300,305,096,001
  5. Step 5: Solve for x
    x = 300,305,096,001/251,847
  6. Step 6: Final answer
    x = 1,192,410.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.