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Finding the Third Proportional to 498,936 and 951,936

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Solution

The third proportional to 498,936 and 951,936 is: 1,816,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,936 : 951,936 = 951,936 : x
  2. Step 2: Convert to fraction form
    498,936/951,936 = 951,936/x
  3. Step 3: Cross multiply
    498,936x = 951,936 × 951,936
  4. Step 4: Simplify right side
    498,936x = 906,182,148,096
  5. Step 5: Solve for x
    x = 906,182,148,096/498,936
  6. Step 6: Final answer
    x = 1,816,229.23

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.