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Finding the Third Proportional to 289,930 and 588,012

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Solution

The third proportional to 289,930 and 588,012 is: 1,192,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,930 : 588,012 = 588,012 : x
  2. Step 2: Convert to fraction form
    289,930/588,012 = 588,012/x
  3. Step 3: Cross multiply
    289,930x = 588,012 × 588,012
  4. Step 4: Simplify right side
    289,930x = 345,758,112,144
  5. Step 5: Solve for x
    x = 345,758,112,144/289,930
  6. Step 6: Final answer
    x = 1,192,557.21

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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.