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Finding the Third Proportional to 496.75 and 779.25

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Solution

The third proportional to 496.75 and 779.25 is: 1,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.75 : 779.25 = 779.25 : x
  2. Step 2: Convert to fraction form
    496.75/779.25 = 779.25/x
  3. Step 3: Cross multiply
    496.75x = 779.25 × 779.25
  4. Step 4: Simplify right side
    496.75x = 607,230.56
  5. Step 5: Solve for x
    x = 607,230.56/496.75
  6. Step 6: Final answer
    x = 1,222.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.