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Finding the Third Proportional to 511,586.25 and 852,591.38

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Solution

The third proportional to 511,586.25 and 852,591.38 is: 1,420,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,586.25 : 852,591.38 = 852,591.38 : x
  2. Step 2: Convert to fraction form
    511,586.25/852,591.38 = 852,591.38/x
  3. Step 3: Cross multiply
    511,586.25x = 852,591.38 × 852,591.38
  4. Step 4: Simplify right side
    511,586.25x = 726,912,052,724.39
  5. Step 5: Solve for x
    x = 726,912,052,724.39/511,586.25
  6. Step 6: Final answer
    x = 1,420,898.34

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