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Finding the Third Proportional to 353,939.25 and 530,946.75

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Solution

The third proportional to 353,939.25 and 530,946.75 is: 796,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,939.25 : 530,946.75 = 530,946.75 : x
  2. Step 2: Convert to fraction form
    353,939.25/530,946.75 = 530,946.75/x
  3. Step 3: Cross multiply
    353,939.25x = 530,946.75 × 530,946.75
  4. Step 4: Simplify right side
    353,939.25x = 281,904,451,335.56
  5. Step 5: Solve for x
    x = 281,904,451,335.56/353,939.25
  6. Step 6: Final answer
    x = 796,476.94

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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.