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Finding the Third Proportional to 203,097 and 446,682

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Solution

The third proportional to 203,097 and 446,682 is: 982,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,097 : 446,682 = 446,682 : x
  2. Step 2: Convert to fraction form
    203,097/446,682 = 446,682/x
  3. Step 3: Cross multiply
    203,097x = 446,682 × 446,682
  4. Step 4: Simplify right side
    203,097x = 199,524,809,124
  5. Step 5: Solve for x
    x = 199,524,809,124/203,097
  6. Step 6: Final answer
    x = 982,411.41

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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.