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Finding the Third Proportional to 389,614 and 582,850

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Solution

The third proportional to 389,614 and 582,850 is: 871,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614 : 582,850 = 582,850 : x
  2. Step 2: Convert to fraction form
    389,614/582,850 = 582,850/x
  3. Step 3: Cross multiply
    389,614x = 582,850 × 582,850
  4. Step 4: Simplify right side
    389,614x = 339,714,122,500
  5. Step 5: Solve for x
    x = 339,714,122,500/389,614
  6. Step 6: Final answer
    x = 871,924.83

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