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Finding the Third Proportional to 204,432 and 446,880

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Solution

The third proportional to 204,432 and 446,880 is: 976,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,432 : 446,880 = 446,880 : x
  2. Step 2: Convert to fraction form
    204,432/446,880 = 446,880/x
  3. Step 3: Cross multiply
    204,432x = 446,880 × 446,880
  4. Step 4: Simplify right side
    204,432x = 199,701,734,400
  5. Step 5: Solve for x
    x = 199,701,734,400/204,432
  6. Step 6: Final answer
    x = 976,861.42

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Why These Related Problems?

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