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Finding the Third Proportional to 500.62 and 1,097.68

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Solution

The third proportional to 500.62 and 1,097.68 is: 2,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.62 : 1,097.68 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    500.62/1,097.68 = 1,097.68/x
  3. Step 3: Cross multiply
    500.62x = 1,097.68 × 1,097.68
  4. Step 4: Simplify right side
    500.62x = 1,204,906.86
  5. Step 5: Solve for x
    x = 1,204,906.86/500.62
  6. Step 6: Final answer
    x = 2,406.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.