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Finding the Third Proportional to 737.50 and 960.50

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Solution

The third proportional to 737.50 and 960.50 is: 1,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.50 : 960.50 = 960.50 : x
  2. Step 2: Convert to fraction form
    737.50/960.50 = 960.50/x
  3. Step 3: Cross multiply
    737.50x = 960.50 × 960.50
  4. Step 4: Simplify right side
    737.50x = 922,560.25
  5. Step 5: Solve for x
    x = 922,560.25/737.50
  6. Step 6: Final answer
    x = 1,250.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.