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Finding the Third Proportional to 394,626 and 852,308

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Solution

The third proportional to 394,626 and 852,308 is: 1,840,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,626 : 852,308 = 852,308 : x
  2. Step 2: Convert to fraction form
    394,626/852,308 = 852,308/x
  3. Step 3: Cross multiply
    394,626x = 852,308 × 852,308
  4. Step 4: Simplify right side
    394,626x = 726,428,926,864
  5. Step 5: Solve for x
    x = 726,428,926,864/394,626
  6. Step 6: Final answer
    x = 1,840,803.51

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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.