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Finding the Third Proportional to 230,651 and 324,665

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Solution

The third proportional to 230,651 and 324,665 is: 456,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,651 : 324,665 = 324,665 : x
  2. Step 2: Convert to fraction form
    230,651/324,665 = 324,665/x
  3. Step 3: Cross multiply
    230,651x = 324,665 × 324,665
  4. Step 4: Simplify right side
    230,651x = 105,407,362,225
  5. Step 5: Solve for x
    x = 105,407,362,225/230,651
  6. Step 6: Final answer
    x = 456,999.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.