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Finding the Third Proportional to 674.50 and 944.75

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Solution

The third proportional to 674.50 and 944.75 is: 1,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.50 : 944.75 = 944.75 : x
  2. Step 2: Convert to fraction form
    674.50/944.75 = 944.75/x
  3. Step 3: Cross multiply
    674.50x = 944.75 × 944.75
  4. Step 4: Simplify right side
    674.50x = 892,552.56
  5. Step 5: Solve for x
    x = 892,552.56/674.50
  6. Step 6: Final answer
    x = 1,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.