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Finding the Third Proportional to 394,606 and 852,267

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Solution

The third proportional to 394,606 and 852,267 is: 1,840,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,606 : 852,267 = 852,267 : x
  2. Step 2: Convert to fraction form
    394,606/852,267 = 852,267/x
  3. Step 3: Cross multiply
    394,606x = 852,267 × 852,267
  4. Step 4: Simplify right side
    394,606x = 726,359,039,289
  5. Step 5: Solve for x
    x = 726,359,039,289/394,606
  6. Step 6: Final answer
    x = 1,840,719.70

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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.