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Finding the Third Proportional to 226,980 and 498,042

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Solution

The third proportional to 226,980 and 498,042 is: 1,092,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,980 : 498,042 = 498,042 : x
  2. Step 2: Convert to fraction form
    226,980/498,042 = 498,042/x
  3. Step 3: Cross multiply
    226,980x = 498,042 × 498,042
  4. Step 4: Simplify right side
    226,980x = 248,045,833,764
  5. Step 5: Solve for x
    x = 248,045,833,764/226,980
  6. Step 6: Final answer
    x = 1,092,809.21

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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.