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Finding the Third Proportional to 311,928 and 446,073

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Solution

The third proportional to 311,928 and 446,073 is: 637,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,928 : 446,073 = 446,073 : x
  2. Step 2: Convert to fraction form
    311,928/446,073 = 446,073/x
  3. Step 3: Cross multiply
    311,928x = 446,073 × 446,073
  4. Step 4: Simplify right side
    311,928x = 198,981,121,329
  5. Step 5: Solve for x
    x = 198,981,121,329/311,928
  6. Step 6: Final answer
    x = 637,907.21

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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.