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Finding the Third Proportional to 268,956 and 633,992

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Solution

The third proportional to 268,956 and 633,992 is: 1,494,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,956 : 633,992 = 633,992 : x
  2. Step 2: Convert to fraction form
    268,956/633,992 = 633,992/x
  3. Step 3: Cross multiply
    268,956x = 633,992 × 633,992
  4. Step 4: Simplify right side
    268,956x = 401,945,856,064
  5. Step 5: Solve for x
    x = 401,945,856,064/268,956
  6. Step 6: Final answer
    x = 1,494,466.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.