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Finding the Third Proportional to 204,059.25 and 439,404.75

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Solution

The third proportional to 204,059.25 and 439,404.75 is: 946,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,059.25 : 439,404.75 = 439,404.75 : x
  2. Step 2: Convert to fraction form
    204,059.25/439,404.75 = 439,404.75/x
  3. Step 3: Cross multiply
    204,059.25x = 439,404.75 × 439,404.75
  4. Step 4: Simplify right side
    204,059.25x = 193,076,534,322.56
  5. Step 5: Solve for x
    x = 193,076,534,322.56/204,059.25
  6. Step 6: Final answer
    x = 946,178.79

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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.