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Finding the Third Proportional to 208,863 and 441,540

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Solution

The third proportional to 208,863 and 441,540 is: 933,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,863 : 441,540 = 441,540 : x
  2. Step 2: Convert to fraction form
    208,863/441,540 = 441,540/x
  3. Step 3: Cross multiply
    208,863x = 441,540 × 441,540
  4. Step 4: Simplify right side
    208,863x = 194,957,571,600
  5. Step 5: Solve for x
    x = 194,957,571,600/208,863
  6. Step 6: Final answer
    x = 933,423.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.