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Finding the Third Proportional to 512,721 and 795,954

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Solution

The third proportional to 512,721 and 795,954 is: 1,235,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,721 : 795,954 = 795,954 : x
  2. Step 2: Convert to fraction form
    512,721/795,954 = 795,954/x
  3. Step 3: Cross multiply
    512,721x = 795,954 × 795,954
  4. Step 4: Simplify right side
    512,721x = 633,542,770,116
  5. Step 5: Solve for x
    x = 633,542,770,116/512,721
  6. Step 6: Final answer
    x = 1,235,648.18

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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.