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Finding the Third Proportional to 327,634.50 and 494,458.50

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Solution

The third proportional to 327,634.50 and 494,458.50 is: 746,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,634.50 : 494,458.50 = 494,458.50 : x
  2. Step 2: Convert to fraction form
    327,634.50/494,458.50 = 494,458.50/x
  3. Step 3: Cross multiply
    327,634.50x = 494,458.50 × 494,458.50
  4. Step 4: Simplify right side
    327,634.50x = 244,489,208,222.25
  5. Step 5: Solve for x
    x = 244,489,208,222.25/327,634.50
  6. Step 6: Final answer
    x = 746,225.47

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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.