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Finding the Third Proportional to 322,872 and 658,884

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Solution

The third proportional to 322,872 and 658,884 is: 1,344,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,872 : 658,884 = 658,884 : x
  2. Step 2: Convert to fraction form
    322,872/658,884 = 658,884/x
  3. Step 3: Cross multiply
    322,872x = 658,884 × 658,884
  4. Step 4: Simplify right side
    322,872x = 434,128,125,456
  5. Step 5: Solve for x
    x = 434,128,125,456/322,872
  6. Step 6: Final answer
    x = 1,344,582.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.