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Finding the Third Proportional to 324,234 and 485,055

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Solution

The third proportional to 324,234 and 485,055 is: 725,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,234 : 485,055 = 485,055 : x
  2. Step 2: Convert to fraction form
    324,234/485,055 = 485,055/x
  3. Step 3: Cross multiply
    324,234x = 485,055 × 485,055
  4. Step 4: Simplify right side
    324,234x = 235,278,353,025
  5. Step 5: Solve for x
    x = 235,278,353,025/324,234
  6. Step 6: Final answer
    x = 725,643.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.