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Finding the Third Proportional to 270,222 and 588,006

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Solution

The third proportional to 270,222 and 588,006 is: 1,279,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,222 : 588,006 = 588,006 : x
  2. Step 2: Convert to fraction form
    270,222/588,006 = 588,006/x
  3. Step 3: Cross multiply
    270,222x = 588,006 × 588,006
  4. Step 4: Simplify right side
    270,222x = 345,751,056,036
  5. Step 5: Solve for x
    x = 345,751,056,036/270,222
  6. Step 6: Final answer
    x = 1,279,507.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.