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Finding the Third Proportional to 289,932 and 588,016

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Solution

The third proportional to 289,932 and 588,016 is: 1,192,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,932 : 588,016 = 588,016 : x
  2. Step 2: Convert to fraction form
    289,932/588,016 = 588,016/x
  3. Step 3: Cross multiply
    289,932x = 588,016 × 588,016
  4. Step 4: Simplify right side
    289,932x = 345,762,816,256
  5. Step 5: Solve for x
    x = 345,762,816,256/289,932
  6. Step 6: Final answer
    x = 1,192,565.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.