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Finding the Third Proportional to 267,826 and 557,844

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Solution

The third proportional to 267,826 and 557,844 is: 1,161,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,826 : 557,844 = 557,844 : x
  2. Step 2: Convert to fraction form
    267,826/557,844 = 557,844/x
  3. Step 3: Cross multiply
    267,826x = 557,844 × 557,844
  4. Step 4: Simplify right side
    267,826x = 311,189,928,336
  5. Step 5: Solve for x
    x = 311,189,928,336/267,826
  6. Step 6: Final answer
    x = 1,161,910.82

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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.