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Finding the Third Proportional to 754.50 and 1,201.88

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Solution

The third proportional to 754.50 and 1,201.88 is: 1,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.50 : 1,201.88 = 1,201.88 : x
  2. Step 2: Convert to fraction form
    754.50/1,201.88 = 1,201.88/x
  3. Step 3: Cross multiply
    754.50x = 1,201.88 × 1,201.88
  4. Step 4: Simplify right side
    754.50x = 1,444,503.52
  5. Step 5: Solve for x
    x = 1,444,503.52/754.50
  6. Step 6: Final answer
    x = 1,914.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.