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Finding the Third Proportional to 596.06 and 717.56

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Solution

The third proportional to 596.06 and 717.56 is: 863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 717.56 = 717.56 : x
  2. Step 2: Convert to fraction form
    596.06/717.56 = 717.56/x
  3. Step 3: Cross multiply
    596.06x = 717.56 × 717.56
  4. Step 4: Simplify right side
    596.06x = 514,895.94
  5. Step 5: Solve for x
    x = 514,895.94/596.06
  6. Step 6: Final answer
    x = 863.83

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.