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Finding the Third Proportional to 311,586 and 466,851

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Solution

The third proportional to 311,586 and 466,851 is: 699,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,586 : 466,851 = 466,851 : x
  2. Step 2: Convert to fraction form
    311,586/466,851 = 466,851/x
  3. Step 3: Cross multiply
    311,586x = 466,851 × 466,851
  4. Step 4: Simplify right side
    311,586x = 217,949,856,201
  5. Step 5: Solve for x
    x = 217,949,856,201/311,586
  6. Step 6: Final answer
    x = 699,485.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.