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Finding the Third Proportional to 285,771 and 622,338

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Solution

The third proportional to 285,771 and 622,338 is: 1,355,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,771 : 622,338 = 622,338 : x
  2. Step 2: Convert to fraction form
    285,771/622,338 = 622,338/x
  3. Step 3: Cross multiply
    285,771x = 622,338 × 622,338
  4. Step 4: Simplify right side
    285,771x = 387,304,586,244
  5. Step 5: Solve for x
    x = 387,304,586,244/285,771
  6. Step 6: Final answer
    x = 1,355,297.03

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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.