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Finding the Third Proportional to 364,098.38 and 792,105.75

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Solution

The third proportional to 364,098.38 and 792,105.75 is: 1,723,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,098.38 : 792,105.75 = 792,105.75 : x
  2. Step 2: Convert to fraction form
    364,098.38/792,105.75 = 792,105.75/x
  3. Step 3: Cross multiply
    364,098.38x = 792,105.75 × 792,105.75
  4. Step 4: Simplify right side
    364,098.38x = 627,431,519,183.06
  5. Step 5: Solve for x
    x = 627,431,519,183.06/364,098.38
  6. Step 6: Final answer
    x = 1,723,247.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.