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Finding the Third Proportional to 262,460 and 394,691

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Solution

The third proportional to 262,460 and 394,691 is: 593,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,460 : 394,691 = 394,691 : x
  2. Step 2: Convert to fraction form
    262,460/394,691 = 394,691/x
  3. Step 3: Cross multiply
    262,460x = 394,691 × 394,691
  4. Step 4: Simplify right side
    262,460x = 155,780,985,481
  5. Step 5: Solve for x
    x = 155,780,985,481/262,460
  6. Step 6: Final answer
    x = 593,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.