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Finding the Third Proportional to 717.75 and 1,723.50

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Solution

The third proportional to 717.75 and 1,723.50 is: 4,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.75 : 1,723.50 = 1,723.50 : x
  2. Step 2: Convert to fraction form
    717.75/1,723.50 = 1,723.50/x
  3. Step 3: Cross multiply
    717.75x = 1,723.50 × 1,723.50
  4. Step 4: Simplify right side
    717.75x = 2,970,452.25
  5. Step 5: Solve for x
    x = 2,970,452.25/717.75
  6. Step 6: Final answer
    x = 4,138.56

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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.