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Finding the Third Proportional to 203,006 and 446,512

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Solution

The third proportional to 203,006 and 446,512 is: 982,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,006 : 446,512 = 446,512 : x
  2. Step 2: Convert to fraction form
    203,006/446,512 = 446,512/x
  3. Step 3: Cross multiply
    203,006x = 446,512 × 446,512
  4. Step 4: Simplify right side
    203,006x = 199,372,966,144
  5. Step 5: Solve for x
    x = 199,372,966,144/203,006
  6. Step 6: Final answer
    x = 982,103.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.