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Finding the Third Proportional to 327,528 and 421,308

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Solution

The third proportional to 327,528 and 421,308 is: 541,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,528 : 421,308 = 421,308 : x
  2. Step 2: Convert to fraction form
    327,528/421,308 = 421,308/x
  3. Step 3: Cross multiply
    327,528x = 421,308 × 421,308
  4. Step 4: Simplify right side
    327,528x = 177,500,430,864
  5. Step 5: Solve for x
    x = 177,500,430,864/327,528
  6. Step 6: Final answer
    x = 541,939.71

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.