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Finding the Third Proportional to 571.31 and 853.23

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Solution

The third proportional to 571.31 and 853.23 is: 1,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.31 : 853.23 = 853.23 : x
  2. Step 2: Convert to fraction form
    571.31/853.23 = 853.23/x
  3. Step 3: Cross multiply
    571.31x = 853.23 × 853.23
  4. Step 4: Simplify right side
    571.31x = 727,999.73
  5. Step 5: Solve for x
    x = 727,999.73/571.31
  6. Step 6: Final answer
    x = 1,274.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.