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Finding the Third Proportional to 754.73 and 1,105.03

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Solution

The third proportional to 754.73 and 1,105.03 is: 1,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.73 : 1,105.03 = 1,105.03 : x
  2. Step 2: Convert to fraction form
    754.73/1,105.03 = 1,105.03/x
  3. Step 3: Cross multiply
    754.73x = 1,105.03 × 1,105.03
  4. Step 4: Simplify right side
    754.73x = 1,221,094.06
  5. Step 5: Solve for x
    x = 1,221,094.06/754.73
  6. Step 6: Final answer
    x = 1,617.91

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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.