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Finding the Third Proportional to 222,080 and 488,446

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Solution

The third proportional to 222,080 and 488,446 is: 1,074,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,080 : 488,446 = 488,446 : x
  2. Step 2: Convert to fraction form
    222,080/488,446 = 488,446/x
  3. Step 3: Cross multiply
    222,080x = 488,446 × 488,446
  4. Step 4: Simplify right side
    222,080x = 238,579,494,916
  5. Step 5: Solve for x
    x = 238,579,494,916/222,080
  6. Step 6: Final answer
    x = 1,074,295.28

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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.