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Finding the Third Proportional to 204,504 and 444,992

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Solution

The third proportional to 204,504 and 444,992 is: 968,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,504 : 444,992 = 444,992 : x
  2. Step 2: Convert to fraction form
    204,504/444,992 = 444,992/x
  3. Step 3: Cross multiply
    204,504x = 444,992 × 444,992
  4. Step 4: Simplify right side
    204,504x = 198,017,880,064
  5. Step 5: Solve for x
    x = 198,017,880,064/204,504
  6. Step 6: Final answer
    x = 968,283.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.