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Finding the Third Proportional to 203,203 and 446,628

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Solution

The third proportional to 203,203 and 446,628 is: 981,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,203 : 446,628 = 446,628 : x
  2. Step 2: Convert to fraction form
    203,203/446,628 = 446,628/x
  3. Step 3: Cross multiply
    203,203x = 446,628 × 446,628
  4. Step 4: Simplify right side
    203,203x = 199,476,570,384
  5. Step 5: Solve for x
    x = 199,476,570,384/203,203
  6. Step 6: Final answer
    x = 981,661.54

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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.