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Finding the Third Proportional to 353,049.75 and 764,055

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Solution

The third proportional to 353,049.75 and 764,055 is: 1,653,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,049.75 : 764,055 = 764,055 : x
  2. Step 2: Convert to fraction form
    353,049.75/764,055 = 764,055/x
  3. Step 3: Cross multiply
    353,049.75x = 764,055 × 764,055
  4. Step 4: Simplify right side
    353,049.75x = 583,780,043,025
  5. Step 5: Solve for x
    x = 583,780,043,025/353,049.75
  6. Step 6: Final answer
    x = 1,653,534.79

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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.