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Finding the Third Proportional to 381,035.25 and 852,286.50

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Solution

The third proportional to 381,035.25 and 852,286.50 is: 1,906,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,035.25 : 852,286.50 = 852,286.50 : x
  2. Step 2: Convert to fraction form
    381,035.25/852,286.50 = 852,286.50/x
  3. Step 3: Cross multiply
    381,035.25x = 852,286.50 × 852,286.50
  4. Step 4: Simplify right side
    381,035.25x = 726,392,278,082.25
  5. Step 5: Solve for x
    x = 726,392,278,082.25/381,035.25
  6. Step 6: Final answer
    x = 1,906,365.04

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.