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Finding the Third Proportional to 276,351.75 and 419,512.92

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Solution

The third proportional to 276,351.75 and 419,512.92 is: 636,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,351.75 : 419,512.92 = 419,512.92 : x
  2. Step 2: Convert to fraction form
    276,351.75/419,512.92 = 419,512.92/x
  3. Step 3: Cross multiply
    276,351.75x = 419,512.92 × 419,512.92
  4. Step 4: Simplify right side
    276,351.75x = 175,991,091,620.10
  5. Step 5: Solve for x
    x = 175,991,091,620.10/276,351.75
  6. Step 6: Final answer
    x = 636,837.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.