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Finding the Third Proportional to 269,082 and 608,067

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Solution

The third proportional to 269,082 and 608,067 is: 1,374,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,082 : 608,067 = 608,067 : x
  2. Step 2: Convert to fraction form
    269,082/608,067 = 608,067/x
  3. Step 3: Cross multiply
    269,082x = 608,067 × 608,067
  4. Step 4: Simplify right side
    269,082x = 369,745,476,489
  5. Step 5: Solve for x
    x = 369,745,476,489/269,082
  6. Step 6: Final answer
    x = 1,374,099.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.