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Finding the Third Proportional to 353,900.25 and 764,114.25

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Solution

The third proportional to 353,900.25 and 764,114.25 is: 1,649,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,900.25 : 764,114.25 = 764,114.25 : x
  2. Step 2: Convert to fraction form
    353,900.25/764,114.25 = 764,114.25/x
  3. Step 3: Cross multiply
    353,900.25x = 764,114.25 × 764,114.25
  4. Step 4: Simplify right side
    353,900.25x = 583,870,587,053.06
  5. Step 5: Solve for x
    x = 583,870,587,053.06/353,900.25
  6. Step 6: Final answer
    x = 1,649,816.83

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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.