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Finding the Third Proportional to 244,467 and 378,219

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Solution

The third proportional to 244,467 and 378,219 is: 585,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,467 : 378,219 = 378,219 : x
  2. Step 2: Convert to fraction form
    244,467/378,219 = 378,219/x
  3. Step 3: Cross multiply
    244,467x = 378,219 × 378,219
  4. Step 4: Simplify right side
    244,467x = 143,049,611,961
  5. Step 5: Solve for x
    x = 143,049,611,961/244,467
  6. Step 6: Final answer
    x = 585,148.96

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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.