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Finding the Third Proportional to 339,904 and 746,714

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Solution

The third proportional to 339,904 and 746,714 is: 1,640,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,904 : 746,714 = 746,714 : x
  2. Step 2: Convert to fraction form
    339,904/746,714 = 746,714/x
  3. Step 3: Cross multiply
    339,904x = 746,714 × 746,714
  4. Step 4: Simplify right side
    339,904x = 557,581,797,796
  5. Step 5: Solve for x
    x = 557,581,797,796/339,904
  6. Step 6: Final answer
    x = 1,640,409.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.