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Finding the Third Proportional to 269,793 and 582,813

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Solution

The third proportional to 269,793 and 582,813 is: 1,259,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,793 : 582,813 = 582,813 : x
  2. Step 2: Convert to fraction form
    269,793/582,813 = 582,813/x
  3. Step 3: Cross multiply
    269,793x = 582,813 × 582,813
  4. Step 4: Simplify right side
    269,793x = 339,670,992,969
  5. Step 5: Solve for x
    x = 339,670,992,969/269,793
  6. Step 6: Final answer
    x = 1,259,005.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.