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Finding the Third Proportional to 228,980 and 498,686

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Solution

The third proportional to 228,980 and 498,686 is: 1,086,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,980 : 498,686 = 498,686 : x
  2. Step 2: Convert to fraction form
    228,980/498,686 = 498,686/x
  3. Step 3: Cross multiply
    228,980x = 498,686 × 498,686
  4. Step 4: Simplify right side
    228,980x = 248,687,726,596
  5. Step 5: Solve for x
    x = 248,687,726,596/228,980
  6. Step 6: Final answer
    x = 1,086,067.46

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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.