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Finding the Third Proportional to 394,960.50 and 864,927

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Solution

The third proportional to 394,960.50 and 864,927 is: 1,894,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,960.50 : 864,927 = 864,927 : x
  2. Step 2: Convert to fraction form
    394,960.50/864,927 = 864,927/x
  3. Step 3: Cross multiply
    394,960.50x = 864,927 × 864,927
  4. Step 4: Simplify right side
    394,960.50x = 748,098,715,329
  5. Step 5: Solve for x
    x = 748,098,715,329/394,960.50
  6. Step 6: Final answer
    x = 1,894,110.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.