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Finding the Third Proportional to 239,329.69 and 490,956.19

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Solution

The third proportional to 239,329.69 and 490,956.19 is: 1,007,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,329.69 : 490,956.19 = 490,956.19 : x
  2. Step 2: Convert to fraction form
    239,329.69/490,956.19 = 490,956.19/x
  3. Step 3: Cross multiply
    239,329.69x = 490,956.19 × 490,956.19
  4. Step 4: Simplify right side
    239,329.69x = 241,037,978,044.54
  5. Step 5: Solve for x
    x = 241,037,978,044.54/239,329.69
  6. Step 6: Final answer
    x = 1,007,137.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.