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Finding the Third Proportional to 331,960 and 502,954

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Solution

The third proportional to 331,960 and 502,954 is: 762,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,960 : 502,954 = 502,954 : x
  2. Step 2: Convert to fraction form
    331,960/502,954 = 502,954/x
  3. Step 3: Cross multiply
    331,960x = 502,954 × 502,954
  4. Step 4: Simplify right side
    331,960x = 252,962,726,116
  5. Step 5: Solve for x
    x = 252,962,726,116/331,960
  6. Step 6: Final answer
    x = 762,027.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.