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Finding the Third Proportional to 389,538 and 582,759

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Solution

The third proportional to 389,538 and 582,759 is: 871,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,538 : 582,759 = 582,759 : x
  2. Step 2: Convert to fraction form
    389,538/582,759 = 582,759/x
  3. Step 3: Cross multiply
    389,538x = 582,759 × 582,759
  4. Step 4: Simplify right side
    389,538x = 339,608,052,081
  5. Step 5: Solve for x
    x = 339,608,052,081/389,538
  6. Step 6: Final answer
    x = 871,822.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.