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Finding the Third Proportional to 204,350 and 446,014

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Solution

The third proportional to 204,350 and 446,014 is: 973,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,350 : 446,014 = 446,014 : x
  2. Step 2: Convert to fraction form
    204,350/446,014 = 446,014/x
  3. Step 3: Cross multiply
    204,350x = 446,014 × 446,014
  4. Step 4: Simplify right side
    204,350x = 198,928,488,196
  5. Step 5: Solve for x
    x = 198,928,488,196/204,350
  6. Step 6: Final answer
    x = 973,469.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.