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Finding the Third Proportional to 331,584.75 and 496,864.69

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Solution

The third proportional to 331,584.75 and 496,864.69 is: 744,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,584.75 : 496,864.69 = 496,864.69 : x
  2. Step 2: Convert to fraction form
    331,584.75/496,864.69 = 496,864.69/x
  3. Step 3: Cross multiply
    331,584.75x = 496,864.69 × 496,864.69
  4. Step 4: Simplify right side
    331,584.75x = 246,874,517,684.47
  5. Step 5: Solve for x
    x = 246,874,517,684.47/331,584.75
  6. Step 6: Final answer
    x = 744,529.17

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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.