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Finding the Third Proportional to 381,033 and 852,282

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Solution

The third proportional to 381,033 and 852,282 is: 1,906,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,033 : 852,282 = 852,282 : x
  2. Step 2: Convert to fraction form
    381,033/852,282 = 852,282/x
  3. Step 3: Cross multiply
    381,033x = 852,282 × 852,282
  4. Step 4: Simplify right side
    381,033x = 726,384,607,524
  5. Step 5: Solve for x
    x = 726,384,607,524/381,033
  6. Step 6: Final answer
    x = 1,906,356.16

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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.