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Finding the Third Proportional to 382,902 and 548,067

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Solution

The third proportional to 382,902 and 548,067 is: 784,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,902 : 548,067 = 548,067 : x
  2. Step 2: Convert to fraction form
    382,902/548,067 = 548,067/x
  3. Step 3: Cross multiply
    382,902x = 548,067 × 548,067
  4. Step 4: Simplify right side
    382,902x = 300,377,436,489
  5. Step 5: Solve for x
    x = 300,377,436,489/382,902
  6. Step 6: Final answer
    x = 784,476.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.