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Finding the Third Proportional to 731.53 and 1,497.09

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Solution

The third proportional to 731.53 and 1,497.09 is: 3,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.53 : 1,497.09 = 1,497.09 : x
  2. Step 2: Convert to fraction form
    731.53/1,497.09 = 1,497.09/x
  3. Step 3: Cross multiply
    731.53x = 1,497.09 × 1,497.09
  4. Step 4: Simplify right side
    731.53x = 2,241,289.70
  5. Step 5: Solve for x
    x = 2,241,289.70/731.53
  6. Step 6: Final answer
    x = 3,063.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.