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Finding the Third Proportional to 311,981.50 and 445,828.75

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Solution

The third proportional to 311,981.50 and 445,828.75 is: 637,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,981.50 : 445,828.75 = 445,828.75 : x
  2. Step 2: Convert to fraction form
    311,981.50/445,828.75 = 445,828.75/x
  3. Step 3: Cross multiply
    311,981.50x = 445,828.75 × 445,828.75
  4. Step 4: Simplify right side
    311,981.50x = 198,763,274,326.56
  5. Step 5: Solve for x
    x = 198,763,274,326.56/311,981.50
  6. Step 6: Final answer
    x = 637,099.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.