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Finding the Third Proportional to 204,512.77 and 439,384.92

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Solution

The third proportional to 204,512.77 and 439,384.92 is: 943,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,512.77 : 439,384.92 = 439,384.92 : x
  2. Step 2: Convert to fraction form
    204,512.77/439,384.92 = 439,384.92/x
  3. Step 3: Cross multiply
    204,512.77x = 439,384.92 × 439,384.92
  4. Step 4: Simplify right side
    204,512.77x = 193,059,109,571.10
  5. Step 5: Solve for x
    x = 193,059,109,571.10/204,512.77
  6. Step 6: Final answer
    x = 943,995.40

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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.