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Finding the Third Proportional to 300,682.13 and 606,286.69

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Solution

The third proportional to 300,682.13 and 606,286.69 is: 1,222,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,682.13 : 606,286.69 = 606,286.69 : x
  2. Step 2: Convert to fraction form
    300,682.13/606,286.69 = 606,286.69/x
  3. Step 3: Cross multiply
    300,682.13x = 606,286.69 × 606,286.69
  4. Step 4: Simplify right side
    300,682.13x = 367,583,547,439.72
  5. Step 5: Solve for x
    x = 367,583,547,439.72/300,682.13
  6. Step 6: Final answer
    x = 1,222,498.83

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.