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Finding the Third Proportional to 311,987.25 and 445,836

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Solution

The third proportional to 311,987.25 and 445,836 is: 637,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,987.25 : 445,836 = 445,836 : x
  2. Step 2: Convert to fraction form
    311,987.25/445,836 = 445,836/x
  3. Step 3: Cross multiply
    311,987.25x = 445,836 × 445,836
  4. Step 4: Simplify right side
    311,987.25x = 198,769,738,896
  5. Step 5: Solve for x
    x = 198,769,738,896/311,987.25
  6. Step 6: Final answer
    x = 637,108.53

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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.