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Finding the Third Proportional to 482,674.50 and 723,791.25

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Solution

The third proportional to 482,674.50 and 723,791.25 is: 1,085,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,674.50 : 723,791.25 = 723,791.25 : x
  2. Step 2: Convert to fraction form
    482,674.50/723,791.25 = 723,791.25/x
  3. Step 3: Cross multiply
    482,674.50x = 723,791.25 × 723,791.25
  4. Step 4: Simplify right side
    482,674.50x = 523,873,773,576.56
  5. Step 5: Solve for x
    x = 523,873,773,576.56/482,674.50
  6. Step 6: Final answer
    x = 1,085,356.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.