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Finding the Third Proportional to 724.75 and 1,093.38

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Solution

The third proportional to 724.75 and 1,093.38 is: 1,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.75 : 1,093.38 = 1,093.38 : x
  2. Step 2: Convert to fraction form
    724.75/1,093.38 = 1,093.38/x
  3. Step 3: Cross multiply
    724.75x = 1,093.38 × 1,093.38
  4. Step 4: Simplify right side
    724.75x = 1,195,468.89
  5. Step 5: Solve for x
    x = 1,195,468.89/724.75
  6. Step 6: Final answer
    x = 1,649.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.