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Finding the Third Proportional to 394,676 and 868,081

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Solution

The third proportional to 394,676 and 868,081 is: 1,909,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,676 : 868,081 = 868,081 : x
  2. Step 2: Convert to fraction form
    394,676/868,081 = 868,081/x
  3. Step 3: Cross multiply
    394,676x = 868,081 × 868,081
  4. Step 4: Simplify right side
    394,676x = 753,564,622,561
  5. Step 5: Solve for x
    x = 753,564,622,561/394,676
  6. Step 6: Final answer
    x = 1,909,324.67

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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.