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Finding the Third Proportional to 226,847 and 497,110

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Solution

The third proportional to 226,847 and 497,110 is: 1,089,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,847 : 497,110 = 497,110 : x
  2. Step 2: Convert to fraction form
    226,847/497,110 = 497,110/x
  3. Step 3: Cross multiply
    226,847x = 497,110 × 497,110
  4. Step 4: Simplify right side
    226,847x = 247,118,352,100
  5. Step 5: Solve for x
    x = 247,118,352,100/226,847
  6. Step 6: Final answer
    x = 1,089,361.34

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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.