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Finding the Third Proportional to 404,224 and 673,676

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Solution

The third proportional to 404,224 and 673,676 is: 1,122,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,224 : 673,676 = 673,676 : x
  2. Step 2: Convert to fraction form
    404,224/673,676 = 673,676/x
  3. Step 3: Cross multiply
    404,224x = 673,676 × 673,676
  4. Step 4: Simplify right side
    404,224x = 453,839,352,976
  5. Step 5: Solve for x
    x = 453,839,352,976/404,224
  6. Step 6: Final answer
    x = 1,122,742.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.