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Finding the Third Proportional to 378,856 and 588,204

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Solution

The third proportional to 378,856 and 588,204 is: 913,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,856 : 588,204 = 588,204 : x
  2. Step 2: Convert to fraction form
    378,856/588,204 = 588,204/x
  3. Step 3: Cross multiply
    378,856x = 588,204 × 588,204
  4. Step 4: Simplify right side
    378,856x = 345,983,945,616
  5. Step 5: Solve for x
    x = 345,983,945,616/378,856
  6. Step 6: Final answer
    x = 913,233.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.