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Finding the Third Proportional to 267.60 and 583.86

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Solution

The third proportional to 267.60 and 583.86 is: 1,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.60 : 583.86 = 583.86 : x
  2. Step 2: Convert to fraction form
    267.60/583.86 = 583.86/x
  3. Step 3: Cross multiply
    267.60x = 583.86 × 583.86
  4. Step 4: Simplify right side
    267.60x = 340,890.77
  5. Step 5: Solve for x
    x = 340,890.77/267.60
  6. Step 6: Final answer
    x = 1,273.87

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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.