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Finding the Third Proportional to 499.75 and 1,132.38

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Solution

The third proportional to 499.75 and 1,132.38 is: 2,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.75 : 1,132.38 = 1,132.38 : x
  2. Step 2: Convert to fraction form
    499.75/1,132.38 = 1,132.38/x
  3. Step 3: Cross multiply
    499.75x = 1,132.38 × 1,132.38
  4. Step 4: Simplify right side
    499.75x = 1,282,273.14
  5. Step 5: Solve for x
    x = 1,282,273.14/499.75
  6. Step 6: Final answer
    x = 2,565.83

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.