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Finding the Third Proportional to 298,675 and 656,398

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Solution

The third proportional to 298,675 and 656,398 is: 1,442,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,675 : 656,398 = 656,398 : x
  2. Step 2: Convert to fraction form
    298,675/656,398 = 656,398/x
  3. Step 3: Cross multiply
    298,675x = 656,398 × 656,398
  4. Step 4: Simplify right side
    298,675x = 430,858,334,404
  5. Step 5: Solve for x
    x = 430,858,334,404/298,675
  6. Step 6: Final answer
    x = 1,442,565.78

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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.