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Finding the Third Proportional to 222,229 and 479,207

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Solution

The third proportional to 222,229 and 479,207 is: 1,033,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,229 : 479,207 = 479,207 : x
  2. Step 2: Convert to fraction form
    222,229/479,207 = 479,207/x
  3. Step 3: Cross multiply
    222,229x = 479,207 × 479,207
  4. Step 4: Simplify right side
    222,229x = 229,639,348,849
  5. Step 5: Solve for x
    x = 229,639,348,849/222,229
  6. Step 6: Final answer
    x = 1,033,345.55

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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.