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Finding the Third Proportional to 263,524 and 394,566

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Solution

The third proportional to 263,524 and 394,566 is: 590,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,524 : 394,566 = 394,566 : x
  2. Step 2: Convert to fraction form
    263,524/394,566 = 394,566/x
  3. Step 3: Cross multiply
    263,524x = 394,566 × 394,566
  4. Step 4: Simplify right side
    263,524x = 155,682,328,356
  5. Step 5: Solve for x
    x = 155,682,328,356/263,524
  6. Step 6: Final answer
    x = 590,770.97

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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.