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Finding the Third Proportional to 600.75 and 960.61

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Solution

The third proportional to 600.75 and 960.61 is: 1,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 960.61 = 960.61 : x
  2. Step 2: Convert to fraction form
    600.75/960.61 = 960.61/x
  3. Step 3: Cross multiply
    600.75x = 960.61 × 960.61
  4. Step 4: Simplify right side
    600.75x = 922,770.37
  5. Step 5: Solve for x
    x = 922,770.37/600.75
  6. Step 6: Final answer
    x = 1,536.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.