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Finding the Third Proportional to 269,843 and 389,842

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Solution

The third proportional to 269,843 and 389,842 is: 563,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,843 : 389,842 = 389,842 : x
  2. Step 2: Convert to fraction form
    269,843/389,842 = 389,842/x
  3. Step 3: Cross multiply
    269,843x = 389,842 × 389,842
  4. Step 4: Simplify right side
    269,843x = 151,976,784,964
  5. Step 5: Solve for x
    x = 151,976,784,964/269,843
  6. Step 6: Final answer
    x = 563,204.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.