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Finding the Third Proportional to 493,832 and 699,228

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Solution

The third proportional to 493,832 and 699,228 is: 990,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,832 : 699,228 = 699,228 : x
  2. Step 2: Convert to fraction form
    493,832/699,228 = 699,228/x
  3. Step 3: Cross multiply
    493,832x = 699,228 × 699,228
  4. Step 4: Simplify right side
    493,832x = 488,919,795,984
  5. Step 5: Solve for x
    x = 488,919,795,984/493,832
  6. Step 6: Final answer
    x = 990,052.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.