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Finding the Third Proportional to 269,190 and 582,957

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Solution

The third proportional to 269,190 and 582,957 is: 1,262,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,190 : 582,957 = 582,957 : x
  2. Step 2: Convert to fraction form
    269,190/582,957 = 582,957/x
  3. Step 3: Cross multiply
    269,190x = 582,957 × 582,957
  4. Step 4: Simplify right side
    269,190x = 339,838,863,849
  5. Step 5: Solve for x
    x = 339,838,863,849/269,190
  6. Step 6: Final answer
    x = 1,262,449.81

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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.