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Finding the Third Proportional to 625.92 and 949.92

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Solution

The third proportional to 625.92 and 949.92 is: 1,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 949.92 = 949.92 : x
  2. Step 2: Convert to fraction form
    625.92/949.92 = 949.92/x
  3. Step 3: Cross multiply
    625.92x = 949.92 × 949.92
  4. Step 4: Simplify right side
    625.92x = 902,351.57
  5. Step 5: Solve for x
    x = 902,351.57/625.92
  6. Step 6: Final answer
    x = 1,441.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.