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Finding the Third Proportional to 383,204 and 580,107

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Solution

The third proportional to 383,204 and 580,107 is: 878,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,204 : 580,107 = 580,107 : x
  2. Step 2: Convert to fraction form
    383,204/580,107 = 580,107/x
  3. Step 3: Cross multiply
    383,204x = 580,107 × 580,107
  4. Step 4: Simplify right side
    383,204x = 336,524,131,449
  5. Step 5: Solve for x
    x = 336,524,131,449/383,204
  6. Step 6: Final answer
    x = 878,185.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.