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Finding the Third Proportional to 349,450 and 523,626

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Solution

The third proportional to 349,450 and 523,626 is: 784,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,450 : 523,626 = 523,626 : x
  2. Step 2: Convert to fraction form
    349,450/523,626 = 523,626/x
  3. Step 3: Cross multiply
    349,450x = 523,626 × 523,626
  4. Step 4: Simplify right side
    349,450x = 274,184,187,876
  5. Step 5: Solve for x
    x = 274,184,187,876/349,450
  6. Step 6: Final answer
    x = 784,616.36

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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.