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Finding the Third Proportional to 381,034.50 and 852,285

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Solution

The third proportional to 381,034.50 and 852,285 is: 1,906,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,034.50 : 852,285 = 852,285 : x
  2. Step 2: Convert to fraction form
    381,034.50/852,285 = 852,285/x
  3. Step 3: Cross multiply
    381,034.50x = 852,285 × 852,285
  4. Step 4: Simplify right side
    381,034.50x = 726,389,721,225
  5. Step 5: Solve for x
    x = 726,389,721,225/381,034.50
  6. Step 6: Final answer
    x = 1,906,362.08

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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.