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Finding the Third Proportional to 387,212.11 and 838,766.91

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Solution

The third proportional to 387,212.11 and 838,766.91 is: 1,816,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,212.11 : 838,766.91 = 838,766.91 : x
  2. Step 2: Convert to fraction form
    387,212.11/838,766.91 = 838,766.91/x
  3. Step 3: Cross multiply
    387,212.11x = 838,766.91 × 838,766.91
  4. Step 4: Simplify right side
    387,212.11x = 703,529,923,020.20
  5. Step 5: Solve for x
    x = 703,529,923,020.20/387,212.11
  6. Step 6: Final answer
    x = 1,816,910.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.