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Finding the Third Proportional to 267.13 and 582.63

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Solution

The third proportional to 267.13 and 582.63 is: 1,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.13 : 582.63 = 582.63 : x
  2. Step 2: Convert to fraction form
    267.13/582.63 = 582.63/x
  3. Step 3: Cross multiply
    267.13x = 582.63 × 582.63
  4. Step 4: Simplify right side
    267.13x = 339,451.89
  5. Step 5: Solve for x
    x = 339,451.89/267.13
  6. Step 6: Final answer
    x = 1,270.76

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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.