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Finding the Third Proportional to 317,892 and 694,836

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Solution

The third proportional to 317,892 and 694,836 is: 1,518,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,892 : 694,836 = 694,836 : x
  2. Step 2: Convert to fraction form
    317,892/694,836 = 694,836/x
  3. Step 3: Cross multiply
    317,892x = 694,836 × 694,836
  4. Step 4: Simplify right side
    317,892x = 482,797,066,896
  5. Step 5: Solve for x
    x = 482,797,066,896/317,892
  6. Step 6: Final answer
    x = 1,518,745.57

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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.