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Finding the Third Proportional to 231,138 and 496,764

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Solution

The third proportional to 231,138 and 496,764 is: 1,067,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,138 : 496,764 = 496,764 : x
  2. Step 2: Convert to fraction form
    231,138/496,764 = 496,764/x
  3. Step 3: Cross multiply
    231,138x = 496,764 × 496,764
  4. Step 4: Simplify right side
    231,138x = 246,774,471,696
  5. Step 5: Solve for x
    x = 246,774,471,696/231,138
  6. Step 6: Final answer
    x = 1,067,649.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.