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Finding the Third Proportional to 267,015 and 583,266

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Solution

The third proportional to 267,015 and 583,266 is: 1,274,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,015 : 583,266 = 583,266 : x
  2. Step 2: Convert to fraction form
    267,015/583,266 = 583,266/x
  3. Step 3: Cross multiply
    267,015x = 583,266 × 583,266
  4. Step 4: Simplify right side
    267,015x = 340,199,226,756
  5. Step 5: Solve for x
    x = 340,199,226,756/267,015
  6. Step 6: Final answer
    x = 1,274,082.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.