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Finding the Third Proportional to 300,821 and 668,884

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Solution

The third proportional to 300,821 and 668,884 is: 1,487,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,821 : 668,884 = 668,884 : x
  2. Step 2: Convert to fraction form
    300,821/668,884 = 668,884/x
  3. Step 3: Cross multiply
    300,821x = 668,884 × 668,884
  4. Step 4: Simplify right side
    300,821x = 447,405,805,456
  5. Step 5: Solve for x
    x = 447,405,805,456/300,821
  6. Step 6: Final answer
    x = 1,487,282.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.