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Finding the Third Proportional to 378,108 and 567,162

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Solution

The third proportional to 378,108 and 567,162 is: 850,743

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,108 : 567,162 = 567,162 : x
  2. Step 2: Convert to fraction form
    378,108/567,162 = 567,162/x
  3. Step 3: Cross multiply
    378,108x = 567,162 × 567,162
  4. Step 4: Simplify right side
    378,108x = 321,672,734,244
  5. Step 5: Solve for x
    x = 321,672,734,244/378,108
  6. Step 6: Final answer
    x = 850,743

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