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Finding the Third Proportional to 311,208 and 494,028

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Solution

The third proportional to 311,208 and 494,028 is: 784,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,208 : 494,028 = 494,028 : x
  2. Step 2: Convert to fraction form
    311,208/494,028 = 494,028/x
  3. Step 3: Cross multiply
    311,208x = 494,028 × 494,028
  4. Step 4: Simplify right side
    311,208x = 244,063,664,784
  5. Step 5: Solve for x
    x = 244,063,664,784/311,208
  6. Step 6: Final answer
    x = 784,246.11

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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.