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Finding the Third Proportional to 204,734 and 443,004

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Solution

The third proportional to 204,734 and 443,004 is: 958,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,734 : 443,004 = 443,004 : x
  2. Step 2: Convert to fraction form
    204,734/443,004 = 443,004/x
  3. Step 3: Cross multiply
    204,734x = 443,004 × 443,004
  4. Step 4: Simplify right side
    204,734x = 196,252,544,016
  5. Step 5: Solve for x
    x = 196,252,544,016/204,734
  6. Step 6: Final answer
    x = 958,573.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.