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Finding the Third Proportional to 230,653 and 324,668

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Solution

The third proportional to 230,653 and 324,668 is: 457,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,653 : 324,668 = 324,668 : x
  2. Step 2: Convert to fraction form
    230,653/324,668 = 324,668/x
  3. Step 3: Cross multiply
    230,653x = 324,668 × 324,668
  4. Step 4: Simplify right side
    230,653x = 105,409,310,224
  5. Step 5: Solve for x
    x = 105,409,310,224/230,653
  6. Step 6: Final answer
    x = 457,003.86

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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.