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Finding the Third Proportional to 367,619 and 796,309

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Solution

The third proportional to 367,619 and 796,309 is: 1,724,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,619 : 796,309 = 796,309 : x
  2. Step 2: Convert to fraction form
    367,619/796,309 = 796,309/x
  3. Step 3: Cross multiply
    367,619x = 796,309 × 796,309
  4. Step 4: Simplify right side
    367,619x = 634,108,023,481
  5. Step 5: Solve for x
    x = 634,108,023,481/367,619
  6. Step 6: Final answer
    x = 1,724,905.47

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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.