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Finding the Third Proportional to 318,351.50 and 481,627.50

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Solution

The third proportional to 318,351.50 and 481,627.50 is: 728,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,351.50 : 481,627.50 = 481,627.50 : x
  2. Step 2: Convert to fraction form
    318,351.50/481,627.50 = 481,627.50/x
  3. Step 3: Cross multiply
    318,351.50x = 481,627.50 × 481,627.50
  4. Step 4: Simplify right side
    318,351.50x = 231,965,048,756.25
  5. Step 5: Solve for x
    x = 231,965,048,756.25/318,351.50
  6. Step 6: Final answer
    x = 728,644.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.