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Finding the Third Proportional to 796.25 and 1,211.44

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Solution

The third proportional to 796.25 and 1,211.44 is: 1,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.25 : 1,211.44 = 1,211.44 : x
  2. Step 2: Convert to fraction form
    796.25/1,211.44 = 1,211.44/x
  3. Step 3: Cross multiply
    796.25x = 1,211.44 × 1,211.44
  4. Step 4: Simplify right side
    796.25x = 1,467,580.82
  5. Step 5: Solve for x
    x = 1,467,580.82/796.25
  6. Step 6: Final answer
    x = 1,843.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.