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Finding the Third Proportional to 394,587.75 and 852,234.75

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Solution

The third proportional to 394,587.75 and 852,234.75 is: 1,840,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,587.75 : 852,234.75 = 852,234.75 : x
  2. Step 2: Convert to fraction form
    394,587.75/852,234.75 = 852,234.75/x
  3. Step 3: Cross multiply
    394,587.75x = 852,234.75 × 852,234.75
  4. Step 4: Simplify right side
    394,587.75x = 726,304,069,107.56
  5. Step 5: Solve for x
    x = 726,304,069,107.56/394,587.75
  6. Step 6: Final answer
    x = 1,840,665.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.