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Finding the Third Proportional to 331,792.50 and 503,832.75

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Solution

The third proportional to 331,792.50 and 503,832.75 is: 765,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,792.50 : 503,832.75 = 503,832.75 : x
  2. Step 2: Convert to fraction form
    331,792.50/503,832.75 = 503,832.75/x
  3. Step 3: Cross multiply
    331,792.50x = 503,832.75 × 503,832.75
  4. Step 4: Simplify right side
    331,792.50x = 253,847,439,972.56
  5. Step 5: Solve for x
    x = 253,847,439,972.56/331,792.50
  6. Step 6: Final answer
    x = 765,078.90

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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.