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Finding the Third Proportional to 367,563.23 and 796,213.13

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Solution

The third proportional to 367,563.23 and 796,213.13 is: 1,724,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,563.23 : 796,213.13 = 796,213.13 : x
  2. Step 2: Convert to fraction form
    367,563.23/796,213.13 = 796,213.13/x
  3. Step 3: Cross multiply
    367,563.23x = 796,213.13 × 796,213.13
  4. Step 4: Simplify right side
    367,563.23x = 633,955,340,422.27
  5. Step 5: Solve for x
    x = 633,955,340,422.27/367,563.23
  6. Step 6: Final answer
    x = 1,724,751.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.