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Finding the Third Proportional to 267.68 and 586.62

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Solution

The third proportional to 267.68 and 586.62 is: 1,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 586.62 = 586.62 : x
  2. Step 2: Convert to fraction form
    267.68/586.62 = 586.62/x
  3. Step 3: Cross multiply
    267.68x = 586.62 × 586.62
  4. Step 4: Simplify right side
    267.68x = 344,119.72
  5. Step 5: Solve for x
    x = 344,119.72/267.68
  6. Step 6: Final answer
    x = 1,285.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.