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Finding the Third Proportional to 404,276 and 673,734

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Solution

The third proportional to 404,276 and 673,734 is: 1,122,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,276 : 673,734 = 673,734 : x
  2. Step 2: Convert to fraction form
    404,276/673,734 = 673,734/x
  3. Step 3: Cross multiply
    404,276x = 673,734 × 673,734
  4. Step 4: Simplify right side
    404,276x = 453,917,502,756
  5. Step 5: Solve for x
    x = 453,917,502,756/404,276
  6. Step 6: Final answer
    x = 1,122,791.12

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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.