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Finding the Third Proportional to 379,052 and 817,150

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Solution

The third proportional to 379,052 and 817,150 is: 1,761,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,052 : 817,150 = 817,150 : x
  2. Step 2: Convert to fraction form
    379,052/817,150 = 817,150/x
  3. Step 3: Cross multiply
    379,052x = 817,150 × 817,150
  4. Step 4: Simplify right side
    379,052x = 667,734,122,500
  5. Step 5: Solve for x
    x = 667,734,122,500/379,052
  6. Step 6: Final answer
    x = 1,761,589.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.