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Finding the Third Proportional to 150,617 and 324,562

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Solution

The third proportional to 150,617 and 324,562 is: 699,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,617 : 324,562 = 324,562 : x
  2. Step 2: Convert to fraction form
    150,617/324,562 = 324,562/x
  3. Step 3: Cross multiply
    150,617x = 324,562 × 324,562
  4. Step 4: Simplify right side
    150,617x = 105,340,491,844
  5. Step 5: Solve for x
    x = 105,340,491,844/150,617
  6. Step 6: Final answer
    x = 699,393.11

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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.