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Finding the Third Proportional to 331,869 and 728,250

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Solution

The third proportional to 331,869 and 728,250 is: 1,598,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,869 : 728,250 = 728,250 : x
  2. Step 2: Convert to fraction form
    331,869/728,250 = 728,250/x
  3. Step 3: Cross multiply
    331,869x = 728,250 × 728,250
  4. Step 4: Simplify right side
    331,869x = 530,348,062,500
  5. Step 5: Solve for x
    x = 530,348,062,500/331,869
  6. Step 6: Final answer
    x = 1,598,064.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.