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Finding the Third Proportional to 363,103 and 797,882

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Solution

The third proportional to 363,103 and 797,882 is: 1,753,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,103 : 797,882 = 797,882 : x
  2. Step 2: Convert to fraction form
    363,103/797,882 = 797,882/x
  3. Step 3: Cross multiply
    363,103x = 797,882 × 797,882
  4. Step 4: Simplify right side
    363,103x = 636,615,685,924
  5. Step 5: Solve for x
    x = 636,615,685,924/363,103
  6. Step 6: Final answer
    x = 1,753,264.74

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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.