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Finding the Third Proportional to 289,947 and 588,048

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Solution

The third proportional to 289,947 and 588,048 is: 1,192,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,947 : 588,048 = 588,048 : x
  2. Step 2: Convert to fraction form
    289,947/588,048 = 588,048/x
  3. Step 3: Cross multiply
    289,947x = 588,048 × 588,048
  4. Step 4: Simplify right side
    289,947x = 345,800,450,304
  5. Step 5: Solve for x
    x = 345,800,450,304/289,947
  6. Step 6: Final answer
    x = 1,192,633.31

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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.