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Finding the Third Proportional to 394,469 and 852,020

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Solution

The third proportional to 394,469 and 852,020 is: 1,840,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,469 : 852,020 = 852,020 : x
  2. Step 2: Convert to fraction form
    394,469/852,020 = 852,020/x
  3. Step 3: Cross multiply
    394,469x = 852,020 × 852,020
  4. Step 4: Simplify right side
    394,469x = 725,938,080,400
  5. Step 5: Solve for x
    x = 725,938,080,400/394,469
  6. Step 6: Final answer
    x = 1,840,291.84

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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.