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Finding the Third Proportional to 363,096 and 797,868

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Solution

The third proportional to 363,096 and 797,868 is: 1,753,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,096 : 797,868 = 797,868 : x
  2. Step 2: Convert to fraction form
    363,096/797,868 = 797,868/x
  3. Step 3: Cross multiply
    363,096x = 797,868 × 797,868
  4. Step 4: Simplify right side
    363,096x = 636,593,345,424
  5. Step 5: Solve for x
    x = 636,593,345,424/363,096
  6. Step 6: Final answer
    x = 1,753,237.01

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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.