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Finding the Third Proportional to 204,973.88 and 449,435.25

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Solution

The third proportional to 204,973.88 and 449,435.25 is: 985,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,973.88 : 449,435.25 = 449,435.25 : x
  2. Step 2: Convert to fraction form
    204,973.88/449,435.25 = 449,435.25/x
  3. Step 3: Cross multiply
    204,973.88x = 449,435.25 × 449,435.25
  4. Step 4: Simplify right side
    204,973.88x = 201,992,043,942.56
  5. Step 5: Solve for x
    x = 201,992,043,942.56/204,973.88
  6. Step 6: Final answer
    x = 985,452.63

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