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Finding the Third Proportional to 414,183.38 and 854,793

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Solution

The third proportional to 414,183.38 and 854,793 is: 1,764,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,183.38 : 854,793 = 854,793 : x
  2. Step 2: Convert to fraction form
    414,183.38/854,793 = 854,793/x
  3. Step 3: Cross multiply
    414,183.38x = 854,793 × 854,793
  4. Step 4: Simplify right side
    414,183.38x = 730,671,072,849
  5. Step 5: Solve for x
    x = 730,671,072,849/414,183.38
  6. Step 6: Final answer
    x = 1,764,124.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.