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Finding the Third Proportional to 568.37 and 1,236.86

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Solution

The third proportional to 568.37 and 1,236.86 is: 2,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.37 : 1,236.86 = 1,236.86 : x
  2. Step 2: Convert to fraction form
    568.37/1,236.86 = 1,236.86/x
  3. Step 3: Cross multiply
    568.37x = 1,236.86 × 1,236.86
  4. Step 4: Simplify right side
    568.37x = 1,529,826.85
  5. Step 5: Solve for x
    x = 1,529,826.85/568.37
  6. Step 6: Final answer
    x = 2,691.58

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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.