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Finding the Third Proportional to 320,125.50 and 482,299.31

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Solution

The third proportional to 320,125.50 and 482,299.31 is: 726,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,125.50 : 482,299.31 = 482,299.31 : x
  2. Step 2: Convert to fraction form
    320,125.50/482,299.31 = 482,299.31/x
  3. Step 3: Cross multiply
    320,125.50x = 482,299.31 × 482,299.31
  4. Step 4: Simplify right side
    320,125.50x = 232,612,626,837.97
  5. Step 5: Solve for x
    x = 232,612,626,837.97/320,125.50
  6. Step 6: Final answer
    x = 726,629.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.