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Finding the Third Proportional to 311,948 and 445,761

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Solution

The third proportional to 311,948 and 445,761 is: 636,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,948 : 445,761 = 445,761 : x
  2. Step 2: Convert to fraction form
    311,948/445,761 = 445,761/x
  3. Step 3: Cross multiply
    311,948x = 445,761 × 445,761
  4. Step 4: Simplify right side
    311,948x = 198,702,869,121
  5. Step 5: Solve for x
    x = 198,702,869,121/311,948
  6. Step 6: Final answer
    x = 636,974.33

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Why These Related Problems?

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