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Finding the Third Proportional to 228,034 and 498,980

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Solution

The third proportional to 228,034 and 498,980 is: 1,091,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,034 : 498,980 = 498,980 : x
  2. Step 2: Convert to fraction form
    228,034/498,980 = 498,980/x
  3. Step 3: Cross multiply
    228,034x = 498,980 × 498,980
  4. Step 4: Simplify right side
    228,034x = 248,981,040,400
  5. Step 5: Solve for x
    x = 248,981,040,400/228,034
  6. Step 6: Final answer
    x = 1,091,859.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.