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Finding the Third Proportional to 303,876 and 703,512

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Solution

The third proportional to 303,876 and 703,512 is: 1,628,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,876 : 703,512 = 703,512 : x
  2. Step 2: Convert to fraction form
    303,876/703,512 = 703,512/x
  3. Step 3: Cross multiply
    303,876x = 703,512 × 703,512
  4. Step 4: Simplify right side
    303,876x = 494,929,134,144
  5. Step 5: Solve for x
    x = 494,929,134,144/303,876
  6. Step 6: Final answer
    x = 1,628,720.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.