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Finding the Third Proportional to 571.44 and 1,229.59

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Solution

The third proportional to 571.44 and 1,229.59 is: 2,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 1,229.59 = 1,229.59 : x
  2. Step 2: Convert to fraction form
    571.44/1,229.59 = 1,229.59/x
  3. Step 3: Cross multiply
    571.44x = 1,229.59 × 1,229.59
  4. Step 4: Simplify right side
    571.44x = 1,511,900.79
  5. Step 5: Solve for x
    x = 1,511,900.79/571.44
  6. Step 6: Final answer
    x = 2,645.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.