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Finding the Third Proportional to 330,976 and 511,443

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Solution

The third proportional to 330,976 and 511,443 is: 790,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,976 : 511,443 = 511,443 : x
  2. Step 2: Convert to fraction form
    330,976/511,443 = 511,443/x
  3. Step 3: Cross multiply
    330,976x = 511,443 × 511,443
  4. Step 4: Simplify right side
    330,976x = 261,573,942,249
  5. Step 5: Solve for x
    x = 261,573,942,249/330,976
  6. Step 6: Final answer
    x = 790,310.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.