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Finding the Third Proportional to 794.75 and 866.75

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Solution

The third proportional to 794.75 and 866.75 is: 945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.75 : 866.75 = 866.75 : x
  2. Step 2: Convert to fraction form
    794.75/866.75 = 866.75/x
  3. Step 3: Cross multiply
    794.75x = 866.75 × 866.75
  4. Step 4: Simplify right side
    794.75x = 751,255.56
  5. Step 5: Solve for x
    x = 751,255.56/794.75
  6. Step 6: Final answer
    x = 945.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.