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Finding the Third Proportional to 203,676 and 446,520

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Solution

The third proportional to 203,676 and 446,520 is: 978,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,676 : 446,520 = 446,520 : x
  2. Step 2: Convert to fraction form
    203,676/446,520 = 446,520/x
  3. Step 3: Cross multiply
    203,676x = 446,520 × 446,520
  4. Step 4: Simplify right side
    203,676x = 199,380,110,400
  5. Step 5: Solve for x
    x = 199,380,110,400/203,676
  6. Step 6: Final answer
    x = 978,908.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.