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Finding the Third Proportional to 222,459 and 479,910

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Solution

The third proportional to 222,459 and 479,910 is: 1,035,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,459 : 479,910 = 479,910 : x
  2. Step 2: Convert to fraction form
    222,459/479,910 = 479,910/x
  3. Step 3: Cross multiply
    222,459x = 479,910 × 479,910
  4. Step 4: Simplify right side
    222,459x = 230,313,608,100
  5. Step 5: Solve for x
    x = 230,313,608,100/222,459
  6. Step 6: Final answer
    x = 1,035,308.12

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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.