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Finding the Third Proportional to 396,586 and 615,616

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Solution

The third proportional to 396,586 and 615,616 is: 955,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,586 : 615,616 = 615,616 : x
  2. Step 2: Convert to fraction form
    396,586/615,616 = 615,616/x
  3. Step 3: Cross multiply
    396,586x = 615,616 × 615,616
  4. Step 4: Simplify right side
    396,586x = 378,983,059,456
  5. Step 5: Solve for x
    x = 378,983,059,456/396,586
  6. Step 6: Final answer
    x = 955,613.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.