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Finding the Third Proportional to 327,519.75 and 707,629.88

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Solution

The third proportional to 327,519.75 and 707,629.88 is: 1,528,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,519.75 : 707,629.88 = 707,629.88 : x
  2. Step 2: Convert to fraction form
    327,519.75/707,629.88 = 707,629.88/x
  3. Step 3: Cross multiply
    327,519.75x = 707,629.88 × 707,629.88
  4. Step 4: Simplify right side
    327,519.75x = 500,740,039,992.52
  5. Step 5: Solve for x
    x = 500,740,039,992.52/327,519.75
  6. Step 6: Final answer
    x = 1,528,885.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.