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Finding the Third Proportional to 226,989 and 498,060

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Solution

The third proportional to 226,989 and 498,060 is: 1,092,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,989 : 498,060 = 498,060 : x
  2. Step 2: Convert to fraction form
    226,989/498,060 = 498,060/x
  3. Step 3: Cross multiply
    226,989x = 498,060 × 498,060
  4. Step 4: Simplify right side
    226,989x = 248,063,763,600
  5. Step 5: Solve for x
    x = 248,063,763,600/226,989
  6. Step 6: Final answer
    x = 1,092,844.87

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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.