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Finding the Third Proportional to 263,204 and 393,049

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Solution

The third proportional to 263,204 and 393,049 is: 586,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,204 : 393,049 = 393,049 : x
  2. Step 2: Convert to fraction form
    263,204/393,049 = 393,049/x
  3. Step 3: Cross multiply
    263,204x = 393,049 × 393,049
  4. Step 4: Simplify right side
    263,204x = 154,487,516,401
  5. Step 5: Solve for x
    x = 154,487,516,401/263,204
  6. Step 6: Final answer
    x = 586,949.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.