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Finding the Third Proportional to 362.81 and 853.88

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Solution

The third proportional to 362.81 and 853.88 is: 2,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.81 : 853.88 = 853.88 : x
  2. Step 2: Convert to fraction form
    362.81/853.88 = 853.88/x
  3. Step 3: Cross multiply
    362.81x = 853.88 × 853.88
  4. Step 4: Simplify right side
    362.81x = 729,102.52
  5. Step 5: Solve for x
    x = 729,102.52/362.81
  6. Step 6: Final answer
    x = 2,009.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.