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Finding the Third Proportional to 302,060 and 479,874

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Solution

The third proportional to 302,060 and 479,874 is: 762,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,060 : 479,874 = 479,874 : x
  2. Step 2: Convert to fraction form
    302,060/479,874 = 479,874/x
  3. Step 3: Cross multiply
    302,060x = 479,874 × 479,874
  4. Step 4: Simplify right side
    302,060x = 230,279,055,876
  5. Step 5: Solve for x
    x = 230,279,055,876/302,060
  6. Step 6: Final answer
    x = 762,361.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.