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Finding the Third Proportional to 203,217 and 446,658

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Solution

The third proportional to 203,217 and 446,658 is: 981,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,217 : 446,658 = 446,658 : x
  2. Step 2: Convert to fraction form
    203,217/446,658 = 446,658/x
  3. Step 3: Cross multiply
    203,217x = 446,658 × 446,658
  4. Step 4: Simplify right side
    203,217x = 199,503,368,964
  5. Step 5: Solve for x
    x = 199,503,368,964/203,217
  6. Step 6: Final answer
    x = 981,725.79

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