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Finding the Third Proportional to 150,452 and 324,412

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Solution

The third proportional to 150,452 and 324,412 is: 699,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,452 : 324,412 = 324,412 : x
  2. Step 2: Convert to fraction form
    150,452/324,412 = 324,412/x
  3. Step 3: Cross multiply
    150,452x = 324,412 × 324,412
  4. Step 4: Simplify right side
    150,452x = 105,243,145,744
  5. Step 5: Solve for x
    x = 105,243,145,744/150,452
  6. Step 6: Final answer
    x = 699,513.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.