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Finding the Third Proportional to 201,591.28 and 422,592.19

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Solution

The third proportional to 201,591.28 and 422,592.19 is: 885,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,591.28 : 422,592.19 = 422,592.19 : x
  2. Step 2: Convert to fraction form
    201,591.28/422,592.19 = 422,592.19/x
  3. Step 3: Cross multiply
    201,591.28x = 422,592.19 × 422,592.19
  4. Step 4: Simplify right side
    201,591.28x = 178,584,156,936.04
  5. Step 5: Solve for x
    x = 178,584,156,936.04/201,591.28
  6. Step 6: Final answer
    x = 885,872.42

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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.