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Finding the Third Proportional to 381,793.82 and 790,011.04

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Solution

The third proportional to 381,793.82 and 790,011.04 is: 1,634,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,793.82 : 790,011.04 = 790,011.04 : x
  2. Step 2: Convert to fraction form
    381,793.82/790,011.04 = 790,011.04/x
  3. Step 3: Cross multiply
    381,793.82x = 790,011.04 × 790,011.04
  4. Step 4: Simplify right side
    381,793.82x = 624,117,435,668.65
  5. Step 5: Solve for x
    x = 624,117,435,668.65/381,793.82
  6. Step 6: Final answer
    x = 1,634,697.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.