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Finding the Third Proportional to 226,849 and 497,114

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Solution

The third proportional to 226,849 and 497,114 is: 1,089,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,849 : 497,114 = 497,114 : x
  2. Step 2: Convert to fraction form
    226,849/497,114 = 497,114/x
  3. Step 3: Cross multiply
    226,849x = 497,114 × 497,114
  4. Step 4: Simplify right side
    226,849x = 247,122,328,996
  5. Step 5: Solve for x
    x = 247,122,328,996/226,849
  6. Step 6: Final answer
    x = 1,089,369.27

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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.