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Finding the Third Proportional to 263,832 and 637,704

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Solution

The third proportional to 263,832 and 637,704 is: 1,541,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,832 : 637,704 = 637,704 : x
  2. Step 2: Convert to fraction form
    263,832/637,704 = 637,704/x
  3. Step 3: Cross multiply
    263,832x = 637,704 × 637,704
  4. Step 4: Simplify right side
    263,832x = 406,666,391,616
  5. Step 5: Solve for x
    x = 406,666,391,616/263,832
  6. Step 6: Final answer
    x = 1,541,383.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.