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Finding the Third Proportional to 311,037 and 635,197

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Solution

The third proportional to 311,037 and 635,197 is: 1,297,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,037 : 635,197 = 635,197 : x
  2. Step 2: Convert to fraction form
    311,037/635,197 = 635,197/x
  3. Step 3: Cross multiply
    311,037x = 635,197 × 635,197
  4. Step 4: Simplify right side
    311,037x = 403,475,228,809
  5. Step 5: Solve for x
    x = 403,475,228,809/311,037
  6. Step 6: Final answer
    x = 1,297,193.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.