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Finding the Third Proportional to 267,807.94 and 557,809.88

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Solution

The third proportional to 267,807.94 and 557,809.88 is: 1,161,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,807.94 : 557,809.88 = 557,809.88 : x
  2. Step 2: Convert to fraction form
    267,807.94/557,809.88 = 557,809.88/x
  3. Step 3: Cross multiply
    267,807.94x = 557,809.88 × 557,809.88
  4. Step 4: Simplify right side
    267,807.94x = 311,151,856,647.52
  5. Step 5: Solve for x
    x = 311,151,856,647.52/267,807.94
  6. Step 6: Final answer
    x = 1,161,847.03

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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.