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Finding the Third Proportional to 306,784 and 667,544

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Solution

The third proportional to 306,784 and 667,544 is: 1,452,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,784 : 667,544 = 667,544 : x
  2. Step 2: Convert to fraction form
    306,784/667,544 = 667,544/x
  3. Step 3: Cross multiply
    306,784x = 667,544 × 667,544
  4. Step 4: Simplify right side
    306,784x = 445,614,991,936
  5. Step 5: Solve for x
    x = 445,614,991,936/306,784
  6. Step 6: Final answer
    x = 1,452,536.61

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Why These Related Problems?

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