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Finding the Third Proportional to 383,844 and 811,980

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Solution

The third proportional to 383,844 and 811,980 is: 1,717,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,844 : 811,980 = 811,980 : x
  2. Step 2: Convert to fraction form
    383,844/811,980 = 811,980/x
  3. Step 3: Cross multiply
    383,844x = 811,980 × 811,980
  4. Step 4: Simplify right side
    383,844x = 659,311,520,400
  5. Step 5: Solve for x
    x = 659,311,520,400/383,844
  6. Step 6: Final answer
    x = 1,717,654.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.