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Finding the Third Proportional to 511,589 and 852,596

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Solution

The third proportional to 511,589 and 852,596 is: 1,420,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,589 : 852,596 = 852,596 : x
  2. Step 2: Convert to fraction form
    511,589/852,596 = 852,596/x
  3. Step 3: Cross multiply
    511,589x = 852,596 × 852,596
  4. Step 4: Simplify right side
    511,589x = 726,919,939,216
  5. Step 5: Solve for x
    x = 726,919,939,216/511,589
  6. Step 6: Final answer
    x = 1,420,906.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.