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Finding the Third Proportional to 1,704.80 and 2,728.05

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Solution

The third proportional to 1,704.80 and 2,728.05 is: 4,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.80 : 2,728.05 = 2,728.05 : x
  2. Step 2: Convert to fraction form
    1,704.80/2,728.05 = 2,728.05/x
  3. Step 3: Cross multiply
    1,704.80x = 2,728.05 × 2,728.05
  4. Step 4: Simplify right side
    1,704.80x = 7,442,282.38
  5. Step 5: Solve for x
    x = 7,442,282.38/1,704.80
  6. Step 6: Final answer
    x = 4,365.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.