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Finding the Third Proportional to 512,797 and 795,995

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Solution

The third proportional to 512,797 and 795,995 is: 1,235,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,797 : 795,995 = 795,995 : x
  2. Step 2: Convert to fraction form
    512,797/795,995 = 795,995/x
  3. Step 3: Cross multiply
    512,797x = 795,995 × 795,995
  4. Step 4: Simplify right side
    512,797x = 633,608,040,025
  5. Step 5: Solve for x
    x = 633,608,040,025/512,797
  6. Step 6: Final answer
    x = 1,235,592.33

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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.