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Finding the Third Proportional to 363,100 and 797,872

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Solution

The third proportional to 363,100 and 797,872 is: 1,753,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,100 : 797,872 = 797,872 : x
  2. Step 2: Convert to fraction form
    363,100/797,872 = 797,872/x
  3. Step 3: Cross multiply
    363,100x = 797,872 × 797,872
  4. Step 4: Simplify right side
    363,100x = 636,599,728,384
  5. Step 5: Solve for x
    x = 636,599,728,384/363,100
  6. Step 6: Final answer
    x = 1,753,235.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.