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Finding the Third Proportional to 267,738 and 557,667

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Solution

The third proportional to 267,738 and 557,667 is: 1,161,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,738 : 557,667 = 557,667 : x
  2. Step 2: Convert to fraction form
    267,738/557,667 = 557,667/x
  3. Step 3: Cross multiply
    267,738x = 557,667 × 557,667
  4. Step 4: Simplify right side
    267,738x = 310,992,482,889
  5. Step 5: Solve for x
    x = 310,992,482,889/267,738
  6. Step 6: Final answer
    x = 1,161,555.26

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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.