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Finding the Third Proportional to 398,942 and 582,983

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Solution

The third proportional to 398,942 and 582,983 is: 851,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,942 : 582,983 = 582,983 : x
  2. Step 2: Convert to fraction form
    398,942/582,983 = 582,983/x
  3. Step 3: Cross multiply
    398,942x = 582,983 × 582,983
  4. Step 4: Simplify right side
    398,942x = 339,869,178,289
  5. Step 5: Solve for x
    x = 339,869,178,289/398,942
  6. Step 6: Final answer
    x = 851,926.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.