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Finding the Third Proportional to 226,655.44 and 496,905.75

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Solution

The third proportional to 226,655.44 and 496,905.75 is: 1,089,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,655.44 : 496,905.75 = 496,905.75 : x
  2. Step 2: Convert to fraction form
    226,655.44/496,905.75 = 496,905.75/x
  3. Step 3: Cross multiply
    226,655.44x = 496,905.75 × 496,905.75
  4. Step 4: Simplify right side
    226,655.44x = 246,915,324,383.06
  5. Step 5: Solve for x
    x = 246,915,324,383.06/226,655.44
  6. Step 6: Final answer
    x = 1,089,386.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.