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Finding the Third Proportional to 324,765.75 and 467,811.75

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Solution

The third proportional to 324,765.75 and 467,811.75 is: 673,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,765.75 : 467,811.75 = 467,811.75 : x
  2. Step 2: Convert to fraction form
    324,765.75/467,811.75 = 467,811.75/x
  3. Step 3: Cross multiply
    324,765.75x = 467,811.75 × 467,811.75
  4. Step 4: Simplify right side
    324,765.75x = 218,847,833,438.06
  5. Step 5: Solve for x
    x = 218,847,833,438.06/324,765.75
  6. Step 6: Final answer
    x = 673,863.65

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.