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Finding the Third Proportional to 367,623 and 796,317

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Solution

The third proportional to 367,623 and 796,317 is: 1,724,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,623 : 796,317 = 796,317 : x
  2. Step 2: Convert to fraction form
    367,623/796,317 = 796,317/x
  3. Step 3: Cross multiply
    367,623x = 796,317 × 796,317
  4. Step 4: Simplify right side
    367,623x = 634,120,764,489
  5. Step 5: Solve for x
    x = 634,120,764,489/367,623
  6. Step 6: Final answer
    x = 1,724,921.36

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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.