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Finding the Third Proportional to 222,228 and 479,205

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Solution

The third proportional to 222,228 and 479,205 is: 1,033,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,228 : 479,205 = 479,205 : x
  2. Step 2: Convert to fraction form
    222,228/479,205 = 479,205/x
  3. Step 3: Cross multiply
    222,228x = 479,205 × 479,205
  4. Step 4: Simplify right side
    222,228x = 229,637,432,025
  5. Step 5: Solve for x
    x = 229,637,432,025/222,228
  6. Step 6: Final answer
    x = 1,033,341.58

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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.