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Finding the Third Proportional to 268,993 and 582,518.50

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Solution

The third proportional to 268,993 and 582,518.50 is: 1,261,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,993 : 582,518.50 = 582,518.50 : x
  2. Step 2: Convert to fraction form
    268,993/582,518.50 = 582,518.50/x
  3. Step 3: Cross multiply
    268,993x = 582,518.50 × 582,518.50
  4. Step 4: Simplify right side
    268,993x = 339,327,802,842.25
  5. Step 5: Solve for x
    x = 339,327,802,842.25/268,993
  6. Step 6: Final answer
    x = 1,261,474.47

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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.