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Finding the Third Proportional to 394,624.50 and 852,306

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Solution

The third proportional to 394,624.50 and 852,306 is: 1,840,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,624.50 : 852,306 = 852,306 : x
  2. Step 2: Convert to fraction form
    394,624.50/852,306 = 852,306/x
  3. Step 3: Cross multiply
    394,624.50x = 852,306 × 852,306
  4. Step 4: Simplify right side
    394,624.50x = 726,425,517,636
  5. Step 5: Solve for x
    x = 726,425,517,636/394,624.50
  6. Step 6: Final answer
    x = 1,840,801.87

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Why These Related Problems?

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