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Finding the Third Proportional to 327,841.50 and 521,301

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Solution

The third proportional to 327,841.50 and 521,301 is: 828,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,841.50 : 521,301 = 521,301 : x
  2. Step 2: Convert to fraction form
    327,841.50/521,301 = 521,301/x
  3. Step 3: Cross multiply
    327,841.50x = 521,301 × 521,301
  4. Step 4: Simplify right side
    327,841.50x = 271,754,732,601
  5. Step 5: Solve for x
    x = 271,754,732,601/327,841.50
  6. Step 6: Final answer
    x = 828,921.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.