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Finding the Third Proportional to 754.88 and 1,185.44

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Solution

The third proportional to 754.88 and 1,185.44 is: 1,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.88 : 1,185.44 = 1,185.44 : x
  2. Step 2: Convert to fraction form
    754.88/1,185.44 = 1,185.44/x
  3. Step 3: Cross multiply
    754.88x = 1,185.44 × 1,185.44
  4. Step 4: Simplify right side
    754.88x = 1,405,262.07
  5. Step 5: Solve for x
    x = 1,405,262.07/754.88
  6. Step 6: Final answer
    x = 1,861.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.