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Finding the Third Proportional to 204,867 and 443,430

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Solution

The third proportional to 204,867 and 443,430 is: 959,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,867 : 443,430 = 443,430 : x
  2. Step 2: Convert to fraction form
    204,867/443,430 = 443,430/x
  3. Step 3: Cross multiply
    204,867x = 443,430 × 443,430
  4. Step 4: Simplify right side
    204,867x = 196,630,164,900
  5. Step 5: Solve for x
    x = 196,630,164,900/204,867
  6. Step 6: Final answer
    x = 959,794.23

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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.