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Finding the Third Proportional to 204,474 and 417,294

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Solution

The third proportional to 204,474 and 417,294 is: 851,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,474 : 417,294 = 417,294 : x
  2. Step 2: Convert to fraction form
    204,474/417,294 = 417,294/x
  3. Step 3: Cross multiply
    204,474x = 417,294 × 417,294
  4. Step 4: Simplify right side
    204,474x = 174,134,282,436
  5. Step 5: Solve for x
    x = 174,134,282,436/204,474
  6. Step 6: Final answer
    x = 851,620.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.