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Finding the Third Proportional to 331,224.50 and 496,822

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Solution

The third proportional to 331,224.50 and 496,822 is: 745,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,224.50 : 496,822 = 496,822 : x
  2. Step 2: Convert to fraction form
    331,224.50/496,822 = 496,822/x
  3. Step 3: Cross multiply
    331,224.50x = 496,822 × 496,822
  4. Step 4: Simplify right side
    331,224.50x = 246,832,099,684
  5. Step 5: Solve for x
    x = 246,832,099,684/331,224.50
  6. Step 6: Final answer
    x = 745,210.88

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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.