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Finding the Third Proportional to 262,469 and 394,704

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Solution

The third proportional to 262,469 and 394,704 is: 593,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,469 : 394,704 = 394,704 : x
  2. Step 2: Convert to fraction form
    262,469/394,704 = 394,704/x
  3. Step 3: Cross multiply
    262,469x = 394,704 × 394,704
  4. Step 4: Simplify right side
    262,469x = 155,791,247,616
  5. Step 5: Solve for x
    x = 155,791,247,616/262,469
  6. Step 6: Final answer
    x = 593,560.56

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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.