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Finding the Third Proportional to 309,880 and 656,961

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Solution

The third proportional to 309,880 and 656,961 is: 1,392,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,880 : 656,961 = 656,961 : x
  2. Step 2: Convert to fraction form
    309,880/656,961 = 656,961/x
  3. Step 3: Cross multiply
    309,880x = 656,961 × 656,961
  4. Step 4: Simplify right side
    309,880x = 431,597,755,521
  5. Step 5: Solve for x
    x = 431,597,755,521/309,880
  6. Step 6: Final answer
    x = 1,392,789.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.