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Finding the Third Proportional to 598.22 and 951.33

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Solution

The third proportional to 598.22 and 951.33 is: 1,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 951.33 = 951.33 : x
  2. Step 2: Convert to fraction form
    598.22/951.33 = 951.33/x
  3. Step 3: Cross multiply
    598.22x = 951.33 × 951.33
  4. Step 4: Simplify right side
    598.22x = 905,025.20
  5. Step 5: Solve for x
    x = 905,025.20/598.22
  6. Step 6: Final answer
    x = 1,512.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.