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Finding the Third Proportional to 300,880 and 640,744

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Solution

The third proportional to 300,880 and 640,744 is: 1,364,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,880 : 640,744 = 640,744 : x
  2. Step 2: Convert to fraction form
    300,880/640,744 = 640,744/x
  3. Step 3: Cross multiply
    300,880x = 640,744 × 640,744
  4. Step 4: Simplify right side
    300,880x = 410,552,873,536
  5. Step 5: Solve for x
    x = 410,552,873,536/300,880
  6. Step 6: Final answer
    x = 1,364,507.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.