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Finding the Third Proportional to 589.75 and 748.88

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Solution

The third proportional to 589.75 and 748.88 is: 950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.75 : 748.88 = 748.88 : x
  2. Step 2: Convert to fraction form
    589.75/748.88 = 748.88/x
  3. Step 3: Cross multiply
    589.75x = 748.88 × 748.88
  4. Step 4: Simplify right side
    589.75x = 560,813.77
  5. Step 5: Solve for x
    x = 560,813.77/589.75
  6. Step 6: Final answer
    x = 950.93

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.