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Finding the Third Proportional to 247,110 and 502,962

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Solution

The third proportional to 247,110 and 502,962 is: 1,023,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,110 : 502,962 = 502,962 : x
  2. Step 2: Convert to fraction form
    247,110/502,962 = 502,962/x
  3. Step 3: Cross multiply
    247,110x = 502,962 × 502,962
  4. Step 4: Simplify right side
    247,110x = 252,970,773,444
  5. Step 5: Solve for x
    x = 252,970,773,444/247,110
  6. Step 6: Final answer
    x = 1,023,717.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.