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Finding the Third Proportional to 672.28 and 1,023.09

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Solution

The third proportional to 672.28 and 1,023.09 is: 1,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.28 : 1,023.09 = 1,023.09 : x
  2. Step 2: Convert to fraction form
    672.28/1,023.09 = 1,023.09/x
  3. Step 3: Cross multiply
    672.28x = 1,023.09 × 1,023.09
  4. Step 4: Simplify right side
    672.28x = 1,046,720.82
  5. Step 5: Solve for x
    x = 1,046,720.82/672.28
  6. Step 6: Final answer
    x = 1,556.97

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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.