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Finding the Third Proportional to 324,234.75 and 517,971.75

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Solution

The third proportional to 324,234.75 and 517,971.75 is: 827,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,234.75 : 517,971.75 = 517,971.75 : x
  2. Step 2: Convert to fraction form
    324,234.75/517,971.75 = 517,971.75/x
  3. Step 3: Cross multiply
    324,234.75x = 517,971.75 × 517,971.75
  4. Step 4: Simplify right side
    324,234.75x = 268,294,733,798.06
  5. Step 5: Solve for x
    x = 268,294,733,798.06/324,234.75
  6. Step 6: Final answer
    x = 827,470.63

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.