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Finding the Third Proportional to 226,516.50 and 476,340.75

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Solution

The third proportional to 226,516.50 and 476,340.75 is: 1,001,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,516.50 : 476,340.75 = 476,340.75 : x
  2. Step 2: Convert to fraction form
    226,516.50/476,340.75 = 476,340.75/x
  3. Step 3: Cross multiply
    226,516.50x = 476,340.75 × 476,340.75
  4. Step 4: Simplify right side
    226,516.50x = 226,900,510,110.56
  5. Step 5: Solve for x
    x = 226,900,510,110.56/226,516.50
  6. Step 6: Final answer
    x = 1,001,695.29

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Why These Related Problems?

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