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Finding the Third Proportional to 204,976.13 and 449,439.75

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Solution

The third proportional to 204,976.13 and 449,439.75 is: 985,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,976.13 : 449,439.75 = 449,439.75 : x
  2. Step 2: Convert to fraction form
    204,976.13/449,439.75 = 449,439.75/x
  3. Step 3: Cross multiply
    204,976.13x = 449,439.75 × 449,439.75
  4. Step 4: Simplify right side
    204,976.13x = 201,996,088,880.06
  5. Step 5: Solve for x
    x = 201,996,088,880.06/204,976.13
  6. Step 6: Final answer
    x = 985,461.55

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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.