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Finding the Third Proportional to 444,183 and 633,051

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Solution

The third proportional to 444,183 and 633,051 is: 902,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,183 : 633,051 = 633,051 : x
  2. Step 2: Convert to fraction form
    444,183/633,051 = 633,051/x
  3. Step 3: Cross multiply
    444,183x = 633,051 × 633,051
  4. Step 4: Simplify right side
    444,183x = 400,753,568,601
  5. Step 5: Solve for x
    x = 400,753,568,601/444,183
  6. Step 6: Final answer
    x = 902,226.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.