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Finding the Third Proportional to 331,962 and 502,957

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Solution

The third proportional to 331,962 and 502,957 is: 762,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,962 : 502,957 = 502,957 : x
  2. Step 2: Convert to fraction form
    331,962/502,957 = 502,957/x
  3. Step 3: Cross multiply
    331,962x = 502,957 × 502,957
  4. Step 4: Simplify right side
    331,962x = 252,965,743,849
  5. Step 5: Solve for x
    x = 252,965,743,849/331,962
  6. Step 6: Final answer
    x = 762,032.23

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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.