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Finding the Third Proportional to 339,910 and 746,726

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Solution

The third proportional to 339,910 and 746,726 is: 1,640,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,910 : 746,726 = 746,726 : x
  2. Step 2: Convert to fraction form
    339,910/746,726 = 746,726/x
  3. Step 3: Cross multiply
    339,910x = 746,726 × 746,726
  4. Step 4: Simplify right side
    339,910x = 557,599,719,076
  5. Step 5: Solve for x
    x = 557,599,719,076/339,910
  6. Step 6: Final answer
    x = 1,640,433.41

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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.