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Finding the Third Proportional to 327,857.63 and 521,324.44

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Solution

The third proportional to 327,857.63 and 521,324.44 is: 828,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,857.63 : 521,324.44 = 521,324.44 : x
  2. Step 2: Convert to fraction form
    327,857.63/521,324.44 = 521,324.44/x
  3. Step 3: Cross multiply
    327,857.63x = 521,324.44 × 521,324.44
  4. Step 4: Simplify right side
    327,857.63x = 271,779,169,134.69
  5. Step 5: Solve for x
    x = 271,779,169,134.69/327,857.63
  6. Step 6: Final answer
    x = 828,954.85

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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.