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Finding the Third Proportional to 363,102 and 797,880

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Solution

The third proportional to 363,102 and 797,880 is: 1,753,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,102 : 797,880 = 797,880 : x
  2. Step 2: Convert to fraction form
    363,102/797,880 = 797,880/x
  3. Step 3: Cross multiply
    363,102x = 797,880 × 797,880
  4. Step 4: Simplify right side
    363,102x = 636,612,494,400
  5. Step 5: Solve for x
    x = 636,612,494,400/363,102
  6. Step 6: Final answer
    x = 1,753,260.78

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