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Finding the Third Proportional to 303,286.78 and 660,086.72

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Solution

The third proportional to 303,286.78 and 660,086.72 is: 1,436,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,286.78 : 660,086.72 = 660,086.72 : x
  2. Step 2: Convert to fraction form
    303,286.78/660,086.72 = 660,086.72/x
  3. Step 3: Cross multiply
    303,286.78x = 660,086.72 × 660,086.72
  4. Step 4: Simplify right side
    303,286.78x = 435,714,476,270.14
  5. Step 5: Solve for x
    x = 435,714,476,270.14/303,286.78
  6. Step 6: Final answer
    x = 1,436,641.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.