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Finding the Third Proportional to 723.52 and 853.03

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Solution

The third proportional to 723.52 and 853.03 is: 1,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.52 : 853.03 = 853.03 : x
  2. Step 2: Convert to fraction form
    723.52/853.03 = 853.03/x
  3. Step 3: Cross multiply
    723.52x = 853.03 × 853.03
  4. Step 4: Simplify right side
    723.52x = 727,662.31
  5. Step 5: Solve for x
    x = 727,662.31/723.52
  6. Step 6: Final answer
    x = 1,005.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.