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Finding the Third Proportional to 336,396 and 397,836

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Solution

The third proportional to 336,396 and 397,836 is: 470,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,396 : 397,836 = 397,836 : x
  2. Step 2: Convert to fraction form
    336,396/397,836 = 397,836/x
  3. Step 3: Cross multiply
    336,396x = 397,836 × 397,836
  4. Step 4: Simplify right side
    336,396x = 158,273,482,896
  5. Step 5: Solve for x
    x = 158,273,482,896/336,396
  6. Step 6: Final answer
    x = 470,497.52

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.