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Finding the Third Proportional to 512,802 and 796,086

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Solution

The third proportional to 512,802 and 796,086 is: 1,235,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,802 : 796,086 = 796,086 : x
  2. Step 2: Convert to fraction form
    512,802/796,086 = 796,086/x
  3. Step 3: Cross multiply
    512,802x = 796,086 × 796,086
  4. Step 4: Simplify right side
    512,802x = 633,752,919,396
  5. Step 5: Solve for x
    x = 633,752,919,396/512,802
  6. Step 6: Final answer
    x = 1,235,862.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.