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Finding the Third Proportional to 267,828 and 557,848

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Solution

The third proportional to 267,828 and 557,848 is: 1,161,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,828 : 557,848 = 557,848 : x
  2. Step 2: Convert to fraction form
    267,828/557,848 = 557,848/x
  3. Step 3: Cross multiply
    267,828x = 557,848 × 557,848
  4. Step 4: Simplify right side
    267,828x = 311,194,391,104
  5. Step 5: Solve for x
    x = 311,194,391,104/267,828
  6. Step 6: Final answer
    x = 1,161,918.81

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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.