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Finding the Third Proportional to 437,067 and 675,009

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Solution

The third proportional to 437,067 and 675,009 is: 1,042,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,067 : 675,009 = 675,009 : x
  2. Step 2: Convert to fraction form
    437,067/675,009 = 675,009/x
  3. Step 3: Cross multiply
    437,067x = 675,009 × 675,009
  4. Step 4: Simplify right side
    437,067x = 455,637,150,081
  5. Step 5: Solve for x
    x = 455,637,150,081/437,067
  6. Step 6: Final answer
    x = 1,042,488.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.