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Finding the Third Proportional to 311,465.25 and 445,396.22

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Solution

The third proportional to 311,465.25 and 445,396.22 is: 636,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,465.25 : 445,396.22 = 445,396.22 : x
  2. Step 2: Convert to fraction form
    311,465.25/445,396.22 = 445,396.22/x
  3. Step 3: Cross multiply
    311,465.25x = 445,396.22 × 445,396.22
  4. Step 4: Simplify right side
    311,465.25x = 198,377,791,676.80
  5. Step 5: Solve for x
    x = 198,377,791,676.80/311,465.25
  6. Step 6: Final answer
    x = 636,917.90

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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.