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Finding the Third Proportional to 512,744 and 795,994

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Solution

The third proportional to 512,744 and 795,994 is: 1,235,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,744 : 795,994 = 795,994 : x
  2. Step 2: Convert to fraction form
    512,744/795,994 = 795,994/x
  3. Step 3: Cross multiply
    512,744x = 795,994 × 795,994
  4. Step 4: Simplify right side
    512,744x = 633,606,448,036
  5. Step 5: Solve for x
    x = 633,606,448,036/512,744
  6. Step 6: Final answer
    x = 1,235,716.94

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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.