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Finding the Third Proportional to 339,801 and 731,673

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Solution

The third proportional to 339,801 and 731,673 is: 1,575,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,801 : 731,673 = 731,673 : x
  2. Step 2: Convert to fraction form
    339,801/731,673 = 731,673/x
  3. Step 3: Cross multiply
    339,801x = 731,673 × 731,673
  4. Step 4: Simplify right side
    339,801x = 535,345,378,929
  5. Step 5: Solve for x
    x = 535,345,378,929/339,801
  6. Step 6: Final answer
    x = 1,575,467.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.