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Finding the Third Proportional to 363,156 and 797,976

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Solution

The third proportional to 363,156 and 797,976 is: 1,753,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,156 : 797,976 = 797,976 : x
  2. Step 2: Convert to fraction form
    363,156/797,976 = 797,976/x
  3. Step 3: Cross multiply
    363,156x = 797,976 × 797,976
  4. Step 4: Simplify right side
    363,156x = 636,765,696,576
  5. Step 5: Solve for x
    x = 636,765,696,576/363,156
  6. Step 6: Final answer
    x = 1,753,421.94

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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.