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Finding the Third Proportional to 1,194.59 and 1,752.73

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Solution

The third proportional to 1,194.59 and 1,752.73 is: 2,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.59 : 1,752.73 = 1,752.73 : x
  2. Step 2: Convert to fraction form
    1,194.59/1,752.73 = 1,752.73/x
  3. Step 3: Cross multiply
    1,194.59x = 1,752.73 × 1,752.73
  4. Step 4: Simplify right side
    1,194.59x = 3,072,070.94
  5. Step 5: Solve for x
    x = 3,072,070.94/1,194.59
  6. Step 6: Final answer
    x = 2,571.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.