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Finding the Third Proportional to 331,755.75 and 500,382

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Solution

The third proportional to 331,755.75 and 500,382 is: 754,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,755.75 : 500,382 = 500,382 : x
  2. Step 2: Convert to fraction form
    331,755.75/500,382 = 500,382/x
  3. Step 3: Cross multiply
    331,755.75x = 500,382 × 500,382
  4. Step 4: Simplify right side
    331,755.75x = 250,382,145,924
  5. Step 5: Solve for x
    x = 250,382,145,924/331,755.75
  6. Step 6: Final answer
    x = 754,718.33

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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.