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Finding the Third Proportional to 567 and 871.59

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Solution

The third proportional to 567 and 871.59 is: 1,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 871.59 = 871.59 : x
  2. Step 2: Convert to fraction form
    567/871.59 = 871.59/x
  3. Step 3: Cross multiply
    567x = 871.59 × 871.59
  4. Step 4: Simplify right side
    567x = 759,675.67
  5. Step 5: Solve for x
    x = 759,675.67/567
  6. Step 6: Final answer
    x = 1,339.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.