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Finding the Third Proportional to 394,768 and 868,262

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Solution

The third proportional to 394,768 and 868,262 is: 1,909,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,768 : 868,262 = 868,262 : x
  2. Step 2: Convert to fraction form
    394,768/868,262 = 868,262/x
  3. Step 3: Cross multiply
    394,768x = 868,262 × 868,262
  4. Step 4: Simplify right side
    394,768x = 753,878,900,644
  5. Step 5: Solve for x
    x = 753,878,900,644/394,768
  6. Step 6: Final answer
    x = 1,909,675.81

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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.