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Finding the Third Proportional to 394,623 and 852,301

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Solution

The third proportional to 394,623 and 852,301 is: 1,840,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,623 : 852,301 = 852,301 : x
  2. Step 2: Convert to fraction form
    394,623/852,301 = 852,301/x
  3. Step 3: Cross multiply
    394,623x = 852,301 × 852,301
  4. Step 4: Simplify right side
    394,623x = 726,416,994,601
  5. Step 5: Solve for x
    x = 726,416,994,601/394,623
  6. Step 6: Final answer
    x = 1,840,787.27

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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.