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Finding the Third Proportional to 269,197 and 582,974

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Solution

The third proportional to 269,197 and 582,974 is: 1,262,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,197 : 582,974 = 582,974 : x
  2. Step 2: Convert to fraction form
    269,197/582,974 = 582,974/x
  3. Step 3: Cross multiply
    269,197x = 582,974 × 582,974
  4. Step 4: Simplify right side
    269,197x = 339,858,684,676
  5. Step 5: Solve for x
    x = 339,858,684,676/269,197
  6. Step 6: Final answer
    x = 1,262,490.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.