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Finding the Third Proportional to 222,235 and 479,219

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Solution

The third proportional to 222,235 and 479,219 is: 1,033,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,235 : 479,219 = 479,219 : x
  2. Step 2: Convert to fraction form
    222,235/479,219 = 479,219/x
  3. Step 3: Cross multiply
    222,235x = 479,219 × 479,219
  4. Step 4: Simplify right side
    222,235x = 229,650,849,961
  5. Step 5: Solve for x
    x = 229,650,849,961/222,235
  6. Step 6: Final answer
    x = 1,033,369.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.