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Finding the Third Proportional to 589.46 and 1,163.27

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Solution

The third proportional to 589.46 and 1,163.27 is: 2,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 1,163.27 = 1,163.27 : x
  2. Step 2: Convert to fraction form
    589.46/1,163.27 = 1,163.27/x
  3. Step 3: Cross multiply
    589.46x = 1,163.27 × 1,163.27
  4. Step 4: Simplify right side
    589.46x = 1,353,191.46
  5. Step 5: Solve for x
    x = 1,353,191.46/589.46
  6. Step 6: Final answer
    x = 2,295.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.