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Finding the Third Proportional to 746.75 and 863.25

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Solution

The third proportional to 746.75 and 863.25 is: 997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.75 : 863.25 = 863.25 : x
  2. Step 2: Convert to fraction form
    746.75/863.25 = 863.25/x
  3. Step 3: Cross multiply
    746.75x = 863.25 × 863.25
  4. Step 4: Simplify right side
    746.75x = 745,200.56
  5. Step 5: Solve for x
    x = 745,200.56/746.75
  6. Step 6: Final answer
    x = 997.93

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.