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Finding the Third Proportional to 226,774.69 and 476,821.69

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Solution

The third proportional to 226,774.69 and 476,821.69 is: 1,002,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,774.69 : 476,821.69 = 476,821.69 : x
  2. Step 2: Convert to fraction form
    226,774.69/476,821.69 = 476,821.69/x
  3. Step 3: Cross multiply
    226,774.69x = 476,821.69 × 476,821.69
  4. Step 4: Simplify right side
    226,774.69x = 227,358,921,670.35
  5. Step 5: Solve for x
    x = 227,358,921,670.35/226,774.69
  6. Step 6: Final answer
    x = 1,002,576.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.