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Finding the Third Proportional to 378,132 and 567,198

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Solution

The third proportional to 378,132 and 567,198 is: 850,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,132 : 567,198 = 567,198 : x
  2. Step 2: Convert to fraction form
    378,132/567,198 = 567,198/x
  3. Step 3: Cross multiply
    378,132x = 567,198 × 567,198
  4. Step 4: Simplify right side
    378,132x = 321,713,571,204
  5. Step 5: Solve for x
    x = 321,713,571,204/378,132
  6. Step 6: Final answer
    x = 850,797

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.