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Finding the Third Proportional to 406 and 791.75

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Solution

The third proportional to 406 and 791.75 is: 1,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 791.75 = 791.75 : x
  2. Step 2: Convert to fraction form
    406/791.75 = 791.75/x
  3. Step 3: Cross multiply
    406x = 791.75 × 791.75
  4. Step 4: Simplify right side
    406x = 626,868.06
  5. Step 5: Solve for x
    x = 626,868.06/406
  6. Step 6: Final answer
    x = 1,544.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.