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Finding the Third Proportional to 204,636.38 and 441,861.75

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Solution

The third proportional to 204,636.38 and 441,861.75 is: 954,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,636.38 : 441,861.75 = 441,861.75 : x
  2. Step 2: Convert to fraction form
    204,636.38/441,861.75 = 441,861.75/x
  3. Step 3: Cross multiply
    204,636.38x = 441,861.75 × 441,861.75
  4. Step 4: Simplify right side
    204,636.38x = 195,241,806,113.06
  5. Step 5: Solve for x
    x = 195,241,806,113.06/204,636.38
  6. Step 6: Final answer
    x = 954,091.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.