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Finding the Third Proportional to 267,826.50 and 557,844.75

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Solution

The third proportional to 267,826.50 and 557,844.75 is: 1,161,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,826.50 : 557,844.75 = 557,844.75 : x
  2. Step 2: Convert to fraction form
    267,826.50/557,844.75 = 557,844.75/x
  3. Step 3: Cross multiply
    267,826.50x = 557,844.75 × 557,844.75
  4. Step 4: Simplify right side
    267,826.50x = 311,190,765,102.56
  5. Step 5: Solve for x
    x = 311,190,765,102.56/267,826.50
  6. Step 6: Final answer
    x = 1,161,911.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.