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Finding the Third Proportional to 289,640.81 and 605,764.83

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Solution

The third proportional to 289,640.81 and 605,764.83 is: 1,266,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640.81 : 605,764.83 = 605,764.83 : x
  2. Step 2: Convert to fraction form
    289,640.81/605,764.83 = 605,764.83/x
  3. Step 3: Cross multiply
    289,640.81x = 605,764.83 × 605,764.83
  4. Step 4: Simplify right side
    289,640.81x = 366,951,026,993.31
  5. Step 5: Solve for x
    x = 366,951,026,993.31/289,640.81
  6. Step 6: Final answer
    x = 1,266,917.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.