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Finding the Third Proportional to 380,063.81 and 826,282.69

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Solution

The third proportional to 380,063.81 and 826,282.69 is: 1,796,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,063.81 : 826,282.69 = 826,282.69 : x
  2. Step 2: Convert to fraction form
    380,063.81/826,282.69 = 826,282.69/x
  3. Step 3: Cross multiply
    380,063.81x = 826,282.69 × 826,282.69
  4. Step 4: Simplify right side
    380,063.81x = 682,743,079,662.22
  5. Step 5: Solve for x
    x = 682,743,079,662.22/380,063.81
  6. Step 6: Final answer
    x = 1,796,390.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.