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Finding the Third Proportional to 728.05 and 1,104.89

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Solution

The third proportional to 728.05 and 1,104.89 is: 1,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.05 : 1,104.89 = 1,104.89 : x
  2. Step 2: Convert to fraction form
    728.05/1,104.89 = 1,104.89/x
  3. Step 3: Cross multiply
    728.05x = 1,104.89 × 1,104.89
  4. Step 4: Simplify right side
    728.05x = 1,220,783.29
  5. Step 5: Solve for x
    x = 1,220,783.29/728.05
  6. Step 6: Final answer
    x = 1,676.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.