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Finding the Third Proportional to 307,114.03 and 664,164.56

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Solution

The third proportional to 307,114.03 and 664,164.56 is: 1,436,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,114.03 : 664,164.56 = 664,164.56 : x
  2. Step 2: Convert to fraction form
    307,114.03/664,164.56 = 664,164.56/x
  3. Step 3: Cross multiply
    307,114.03x = 664,164.56 × 664,164.56
  4. Step 4: Simplify right side
    307,114.03x = 441,114,566,080.82
  5. Step 5: Solve for x
    x = 441,114,566,080.82/307,114.03
  6. Step 6: Final answer
    x = 1,436,321.76

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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.