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Finding the Third Proportional to 205,344 and 449,880

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Solution

The third proportional to 205,344 and 449,880 is: 985,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,344 : 449,880 = 449,880 : x
  2. Step 2: Convert to fraction form
    205,344/449,880 = 449,880/x
  3. Step 3: Cross multiply
    205,344x = 449,880 × 449,880
  4. Step 4: Simplify right side
    205,344x = 202,392,014,400
  5. Step 5: Solve for x
    x = 202,392,014,400/205,344
  6. Step 6: Final answer
    x = 985,624.19

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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.