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Finding the Third Proportional to 226,257.75 and 446,805

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Solution

The third proportional to 226,257.75 and 446,805 is: 882,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,257.75 : 446,805 = 446,805 : x
  2. Step 2: Convert to fraction form
    226,257.75/446,805 = 446,805/x
  3. Step 3: Cross multiply
    226,257.75x = 446,805 × 446,805
  4. Step 4: Simplify right side
    226,257.75x = 199,634,708,025
  5. Step 5: Solve for x
    x = 199,634,708,025/226,257.75
  6. Step 6: Final answer
    x = 882,333.13

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.