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Finding the Third Proportional to 226,105.50 and 497,751.75

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Solution

The third proportional to 226,105.50 and 497,751.75 is: 1,095,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,105.50 : 497,751.75 = 497,751.75 : x
  2. Step 2: Convert to fraction form
    226,105.50/497,751.75 = 497,751.75/x
  3. Step 3: Cross multiply
    226,105.50x = 497,751.75 × 497,751.75
  4. Step 4: Simplify right side
    226,105.50x = 247,756,804,628.06
  5. Step 5: Solve for x
    x = 247,756,804,628.06/226,105.50
  6. Step 6: Final answer
    x = 1,095,757.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.