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Finding the Third Proportional to 241,772 and 339,870

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Solution

The third proportional to 241,772 and 339,870 is: 477,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,772 : 339,870 = 339,870 : x
  2. Step 2: Convert to fraction form
    241,772/339,870 = 339,870/x
  3. Step 3: Cross multiply
    241,772x = 339,870 × 339,870
  4. Step 4: Simplify right side
    241,772x = 115,511,616,900
  5. Step 5: Solve for x
    x = 115,511,616,900/241,772
  6. Step 6: Final answer
    x = 477,770.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.