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Finding the Third Proportional to 226,022 and 497,243

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Solution

The third proportional to 226,022 and 497,243 is: 1,093,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,022 : 497,243 = 497,243 : x
  2. Step 2: Convert to fraction form
    226,022/497,243 = 497,243/x
  3. Step 3: Cross multiply
    226,022x = 497,243 × 497,243
  4. Step 4: Simplify right side
    226,022x = 247,250,601,049
  5. Step 5: Solve for x
    x = 247,250,601,049/226,022
  6. Step 6: Final answer
    x = 1,093,922.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.