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Finding the Third Proportional to 1,190.53 and 1,740.66

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Solution

The third proportional to 1,190.53 and 1,740.66 is: 2,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.53 : 1,740.66 = 1,740.66 : x
  2. Step 2: Convert to fraction form
    1,190.53/1,740.66 = 1,740.66/x
  3. Step 3: Cross multiply
    1,190.53x = 1,740.66 × 1,740.66
  4. Step 4: Simplify right side
    1,190.53x = 3,029,884.18
  5. Step 5: Solve for x
    x = 3,029,884.18/1,190.53
  6. Step 6: Final answer
    x = 2,544.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.