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Finding the Third Proportional to 396,908 and 599,049

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Solution

The third proportional to 396,908 and 599,049 is: 904,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,908 : 599,049 = 599,049 : x
  2. Step 2: Convert to fraction form
    396,908/599,049 = 599,049/x
  3. Step 3: Cross multiply
    396,908x = 599,049 × 599,049
  4. Step 4: Simplify right side
    396,908x = 358,859,704,401
  5. Step 5: Solve for x
    x = 358,859,704,401/396,908
  6. Step 6: Final answer
    x = 904,138.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.