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Finding the Third Proportional to 723.25 and 1,497.69

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Solution

The third proportional to 723.25 and 1,497.69 is: 3,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.25 : 1,497.69 = 1,497.69 : x
  2. Step 2: Convert to fraction form
    723.25/1,497.69 = 1,497.69/x
  3. Step 3: Cross multiply
    723.25x = 1,497.69 × 1,497.69
  4. Step 4: Simplify right side
    723.25x = 2,243,067.85
  5. Step 5: Solve for x
    x = 2,243,067.85/723.25
  6. Step 6: Final answer
    x = 3,101.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.