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Finding the Third Proportional to 228,022 and 494,980

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Solution

The third proportional to 228,022 and 494,980 is: 1,074,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,022 : 494,980 = 494,980 : x
  2. Step 2: Convert to fraction form
    228,022/494,980 = 494,980/x
  3. Step 3: Cross multiply
    228,022x = 494,980 × 494,980
  4. Step 4: Simplify right side
    228,022x = 245,005,200,400
  5. Step 5: Solve for x
    x = 245,005,200,400/228,022
  6. Step 6: Final answer
    x = 1,074,480.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.