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Finding the Third Proportional to 257,600 and 394,049

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Solution

The third proportional to 257,600 and 394,049 is: 602,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,600 : 394,049 = 394,049 : x
  2. Step 2: Convert to fraction form
    257,600/394,049 = 394,049/x
  3. Step 3: Cross multiply
    257,600x = 394,049 × 394,049
  4. Step 4: Simplify right side
    257,600x = 155,274,614,401
  5. Step 5: Solve for x
    x = 155,274,614,401/257,600
  6. Step 6: Final answer
    x = 602,774.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.