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Finding the Third Proportional to 731.37 and 1,134.55

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Solution

The third proportional to 731.37 and 1,134.55 is: 1,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.37 : 1,134.55 = 1,134.55 : x
  2. Step 2: Convert to fraction form
    731.37/1,134.55 = 1,134.55/x
  3. Step 3: Cross multiply
    731.37x = 1,134.55 × 1,134.55
  4. Step 4: Simplify right side
    731.37x = 1,287,212.12
  5. Step 5: Solve for x
    x = 1,287,212.12/731.37
  6. Step 6: Final answer
    x = 1,759.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.