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Finding the Third Proportional to 200,804.91 and 422,317.97

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Solution

The third proportional to 200,804.91 and 422,317.97 is: 888,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,804.91 : 422,317.97 = 422,317.97 : x
  2. Step 2: Convert to fraction form
    200,804.91/422,317.97 = 422,317.97/x
  3. Step 3: Cross multiply
    200,804.91x = 422,317.97 × 422,317.97
  4. Step 4: Simplify right side
    200,804.91x = 178,352,466,729.13
  5. Step 5: Solve for x
    x = 178,352,466,729.13/200,804.91
  6. Step 6: Final answer
    x = 888,187.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.