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Finding the Third Proportional to 204,007 and 444,306

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Solution

The third proportional to 204,007 and 444,306 is: 967,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,007 : 444,306 = 444,306 : x
  2. Step 2: Convert to fraction form
    204,007/444,306 = 444,306/x
  3. Step 3: Cross multiply
    204,007x = 444,306 × 444,306
  4. Step 4: Simplify right side
    204,007x = 197,407,821,636
  5. Step 5: Solve for x
    x = 197,407,821,636/204,007
  6. Step 6: Final answer
    x = 967,652.20

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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.