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Finding the Third Proportional to 307,316.53 and 481,034.64

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Solution

The third proportional to 307,316.53 and 481,034.64 is: 752,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,316.53 : 481,034.64 = 481,034.64 : x
  2. Step 2: Convert to fraction form
    307,316.53/481,034.64 = 481,034.64/x
  3. Step 3: Cross multiply
    307,316.53x = 481,034.64 × 481,034.64
  4. Step 4: Simplify right side
    307,316.53x = 231,394,321,723.14
  5. Step 5: Solve for x
    x = 231,394,321,723.14/307,316.53
  6. Step 6: Final answer
    x = 752,951.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.