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Finding the Third Proportional to 204,504 and 427,800

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Solution

The third proportional to 204,504 and 427,800 is: 894,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,504 : 427,800 = 427,800 : x
  2. Step 2: Convert to fraction form
    204,504/427,800 = 427,800/x
  3. Step 3: Cross multiply
    204,504x = 427,800 × 427,800
  4. Step 4: Simplify right side
    204,504x = 183,012,840,000
  5. Step 5: Solve for x
    x = 183,012,840,000/204,504
  6. Step 6: Final answer
    x = 894,910.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.