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Finding the Third Proportional to 331,792 and 503,832

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Solution

The third proportional to 331,792 and 503,832 is: 765,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,792 : 503,832 = 503,832 : x
  2. Step 2: Convert to fraction form
    331,792/503,832 = 503,832/x
  3. Step 3: Cross multiply
    331,792x = 503,832 × 503,832
  4. Step 4: Simplify right side
    331,792x = 253,846,684,224
  5. Step 5: Solve for x
    x = 253,846,684,224/331,792
  6. Step 6: Final answer
    x = 765,077.77

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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.