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Finding the Third Proportional to 579.13 and 865.85

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Solution

The third proportional to 579.13 and 865.85 is: 1,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.13 : 865.85 = 865.85 : x
  2. Step 2: Convert to fraction form
    579.13/865.85 = 865.85/x
  3. Step 3: Cross multiply
    579.13x = 865.85 × 865.85
  4. Step 4: Simplify right side
    579.13x = 749,688.78
  5. Step 5: Solve for x
    x = 749,688.78/579.13
  6. Step 6: Final answer
    x = 1,294.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.