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Finding the Third Proportional to 401.75 and 965.75

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Solution

The third proportional to 401.75 and 965.75 is: 2,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.75 : 965.75 = 965.75 : x
  2. Step 2: Convert to fraction form
    401.75/965.75 = 965.75/x
  3. Step 3: Cross multiply
    401.75x = 965.75 × 965.75
  4. Step 4: Simplify right side
    401.75x = 932,673.06
  5. Step 5: Solve for x
    x = 932,673.06/401.75
  6. Step 6: Final answer
    x = 2,321.53

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.