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Finding the Third Proportional to 208,872 and 441,555

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Solution

The third proportional to 208,872 and 441,555 is: 933,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,872 : 441,555 = 441,555 : x
  2. Step 2: Convert to fraction form
    208,872/441,555 = 441,555/x
  3. Step 3: Cross multiply
    208,872x = 441,555 × 441,555
  4. Step 4: Simplify right side
    208,872x = 194,970,818,025
  5. Step 5: Solve for x
    x = 194,970,818,025/208,872
  6. Step 6: Final answer
    x = 933,446.41

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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.