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Finding the Third Proportional to 204,530 and 439,419

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Solution

The third proportional to 204,530 and 439,419 is: 944,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,530 : 439,419 = 439,419 : x
  2. Step 2: Convert to fraction form
    204,530/439,419 = 439,419/x
  3. Step 3: Cross multiply
    204,530x = 439,419 × 439,419
  4. Step 4: Simplify right side
    204,530x = 193,089,057,561
  5. Step 5: Solve for x
    x = 193,089,057,561/204,530
  6. Step 6: Final answer
    x = 944,062.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.