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Finding the Third Proportional to 150,626 and 324,598

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Solution

The third proportional to 150,626 and 324,598 is: 699,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,626 : 324,598 = 324,598 : x
  2. Step 2: Convert to fraction form
    150,626/324,598 = 324,598/x
  3. Step 3: Cross multiply
    150,626x = 324,598 × 324,598
  4. Step 4: Simplify right side
    150,626x = 105,363,861,604
  5. Step 5: Solve for x
    x = 105,363,861,604/150,626
  6. Step 6: Final answer
    x = 699,506.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.