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Finding the Third Proportional to 538,589 and 836,324

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Solution

The third proportional to 538,589 and 836,324 is: 1,298,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,589 : 836,324 = 836,324 : x
  2. Step 2: Convert to fraction form
    538,589/836,324 = 836,324/x
  3. Step 3: Cross multiply
    538,589x = 836,324 × 836,324
  4. Step 4: Simplify right side
    538,589x = 699,437,832,976
  5. Step 5: Solve for x
    x = 699,437,832,976/538,589
  6. Step 6: Final answer
    x = 1,298,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.