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Finding the Third Proportional to 394,618.50 and 852,292.13

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Solution

The third proportional to 394,618.50 and 852,292.13 is: 1,840,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,618.50 : 852,292.13 = 852,292.13 : x
  2. Step 2: Convert to fraction form
    394,618.50/852,292.13 = 852,292.13/x
  3. Step 3: Cross multiply
    394,618.50x = 852,292.13 × 852,292.13
  4. Step 4: Simplify right side
    394,618.50x = 726,401,866,337.02
  5. Step 5: Solve for x
    x = 726,401,866,337.02/394,618.50
  6. Step 6: Final answer
    x = 1,840,769.92

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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.