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Finding the Third Proportional to 311,230.50 and 494,061.75

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Solution

The third proportional to 311,230.50 and 494,061.75 is: 784,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.50 : 494,061.75 = 494,061.75 : x
  2. Step 2: Convert to fraction form
    311,230.50/494,061.75 = 494,061.75/x
  3. Step 3: Cross multiply
    311,230.50x = 494,061.75 × 494,061.75
  4. Step 4: Simplify right side
    311,230.50x = 244,097,012,813.06
  5. Step 5: Solve for x
    x = 244,097,012,813.06/311,230.50
  6. Step 6: Final answer
    x = 784,296.57

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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.