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Finding the Third Proportional to 515,993 and 796,994

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Solution

The third proportional to 515,993 and 796,994 is: 1,231,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,993 : 796,994 = 796,994 : x
  2. Step 2: Convert to fraction form
    515,993/796,994 = 796,994/x
  3. Step 3: Cross multiply
    515,993x = 796,994 × 796,994
  4. Step 4: Simplify right side
    515,993x = 635,199,436,036
  5. Step 5: Solve for x
    x = 635,199,436,036/515,993
  6. Step 6: Final answer
    x = 1,231,023.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.