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Finding the Third Proportional to 1,197.25 and 1,788.50

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Solution

The third proportional to 1,197.25 and 1,788.50 is: 2,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.25 : 1,788.50 = 1,788.50 : x
  2. Step 2: Convert to fraction form
    1,197.25/1,788.50 = 1,788.50/x
  3. Step 3: Cross multiply
    1,197.25x = 1,788.50 × 1,788.50
  4. Step 4: Simplify right side
    1,197.25x = 3,198,732.25
  5. Step 5: Solve for x
    x = 3,198,732.25/1,197.25
  6. Step 6: Final answer
    x = 2,671.73

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