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Finding the Third Proportional to 203,215 and 446,654

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Solution

The third proportional to 203,215 and 446,654 is: 981,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,215 : 446,654 = 446,654 : x
  2. Step 2: Convert to fraction form
    203,215/446,654 = 446,654/x
  3. Step 3: Cross multiply
    203,215x = 446,654 × 446,654
  4. Step 4: Simplify right side
    203,215x = 199,499,795,716
  5. Step 5: Solve for x
    x = 199,499,795,716/203,215
  6. Step 6: Final answer
    x = 981,717.86

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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.