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Finding the Third Proportional to 339,892 and 746,888

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Solution

The third proportional to 339,892 and 746,888 is: 1,641,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,892 : 746,888 = 746,888 : x
  2. Step 2: Convert to fraction form
    339,892/746,888 = 746,888/x
  3. Step 3: Cross multiply
    339,892x = 746,888 × 746,888
  4. Step 4: Simplify right side
    339,892x = 557,841,684,544
  5. Step 5: Solve for x
    x = 557,841,684,544/339,892
  6. Step 6: Final answer
    x = 1,641,232.17

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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.