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Finding the Third Proportional to 300,110 and 633,996

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Solution

The third proportional to 300,110 and 633,996 is: 1,339,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,110 : 633,996 = 633,996 : x
  2. Step 2: Convert to fraction form
    300,110/633,996 = 633,996/x
  3. Step 3: Cross multiply
    300,110x = 633,996 × 633,996
  4. Step 4: Simplify right side
    300,110x = 401,950,928,016
  5. Step 5: Solve for x
    x = 401,950,928,016/300,110
  6. Step 6: Final answer
    x = 1,339,345.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.