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Finding the Third Proportional to 222,093 and 488,463

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Solution

The third proportional to 222,093 and 488,463 is: 1,074,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,093 : 488,463 = 488,463 : x
  2. Step 2: Convert to fraction form
    222,093/488,463 = 488,463/x
  3. Step 3: Cross multiply
    222,093x = 488,463 × 488,463
  4. Step 4: Simplify right side
    222,093x = 238,596,102,369
  5. Step 5: Solve for x
    x = 238,596,102,369/222,093
  6. Step 6: Final answer
    x = 1,074,307.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.