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Finding the Third Proportional to 394,762 and 868,250

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Solution

The third proportional to 394,762 and 868,250 is: 1,909,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,762 : 868,250 = 868,250 : x
  2. Step 2: Convert to fraction form
    394,762/868,250 = 868,250/x
  3. Step 3: Cross multiply
    394,762x = 868,250 × 868,250
  4. Step 4: Simplify right side
    394,762x = 753,858,062,500
  5. Step 5: Solve for x
    x = 753,858,062,500/394,762
  6. Step 6: Final answer
    x = 1,909,652.05

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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.