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Finding the Third Proportional to 327,627.56 and 700,795.69

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Solution

The third proportional to 327,627.56 and 700,795.69 is: 1,499,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,627.56 : 700,795.69 = 700,795.69 : x
  2. Step 2: Convert to fraction form
    327,627.56/700,795.69 = 700,795.69/x
  3. Step 3: Cross multiply
    327,627.56x = 700,795.69 × 700,795.69
  4. Step 4: Simplify right side
    327,627.56x = 491,114,595,618.60
  5. Step 5: Solve for x
    x = 491,114,595,618.60/327,627.56
  6. Step 6: Final answer
    x = 1,499,002.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.