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Finding the Third Proportional to 311,230.69 and 494,062.03

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Solution

The third proportional to 311,230.69 and 494,062.03 is: 784,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.69 : 494,062.03 = 494,062.03 : x
  2. Step 2: Convert to fraction form
    311,230.69/494,062.03 = 494,062.03/x
  3. Step 3: Cross multiply
    311,230.69x = 494,062.03 × 494,062.03
  4. Step 4: Simplify right side
    311,230.69x = 244,097,290,722.88
  5. Step 5: Solve for x
    x = 244,097,290,722.88/311,230.69
  6. Step 6: Final answer
    x = 784,296.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.