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Finding the Third Proportional to 796.50 and 1,734.75

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Solution

The third proportional to 796.50 and 1,734.75 is: 3,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,734.75 = 1,734.75 : x
  2. Step 2: Convert to fraction form
    796.50/1,734.75 = 1,734.75/x
  3. Step 3: Cross multiply
    796.50x = 1,734.75 × 1,734.75
  4. Step 4: Simplify right side
    796.50x = 3,009,357.56
  5. Step 5: Solve for x
    x = 3,009,357.56/796.50
  6. Step 6: Final answer
    x = 3,778.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.