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Finding the Third Proportional to 227,949 and 496,032

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Solution

The third proportional to 227,949 and 496,032 is: 1,079,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,949 : 496,032 = 496,032 : x
  2. Step 2: Convert to fraction form
    227,949/496,032 = 496,032/x
  3. Step 3: Cross multiply
    227,949x = 496,032 × 496,032
  4. Step 4: Simplify right side
    227,949x = 246,047,745,024
  5. Step 5: Solve for x
    x = 246,047,745,024/227,949
  6. Step 6: Final answer
    x = 1,079,398.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.