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Finding the Third Proportional to 307,609.31 and 481,574.53

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Solution

The third proportional to 307,609.31 and 481,574.53 is: 753,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,609.31 : 481,574.53 = 481,574.53 : x
  2. Step 2: Convert to fraction form
    307,609.31/481,574.53 = 481,574.53/x
  3. Step 3: Cross multiply
    307,609.31x = 481,574.53 × 481,574.53
  4. Step 4: Simplify right side
    307,609.31x = 231,914,029,148.66
  5. Step 5: Solve for x
    x = 231,914,029,148.66/307,609.31
  6. Step 6: Final answer
    x = 753,923.95

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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.