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Finding the Third Proportional to 289,933 and 588,018

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Solution

The third proportional to 289,933 and 588,018 is: 1,192,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,933 : 588,018 = 588,018 : x
  2. Step 2: Convert to fraction form
    289,933/588,018 = 588,018/x
  3. Step 3: Cross multiply
    289,933x = 588,018 × 588,018
  4. Step 4: Simplify right side
    289,933x = 345,765,168,324
  5. Step 5: Solve for x
    x = 345,765,168,324/289,933
  6. Step 6: Final answer
    x = 1,192,569.21

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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.