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Finding the Third Proportional to 394,772 and 599,542

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Solution

The third proportional to 394,772 and 599,542 is: 910,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,772 : 599,542 = 599,542 : x
  2. Step 2: Convert to fraction form
    394,772/599,542 = 599,542/x
  3. Step 3: Cross multiply
    394,772x = 599,542 × 599,542
  4. Step 4: Simplify right side
    394,772x = 359,450,609,764
  5. Step 5: Solve for x
    x = 359,450,609,764/394,772
  6. Step 6: Final answer
    x = 910,527.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.