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Finding the Third Proportional to 339,887 and 746,878

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Solution

The third proportional to 339,887 and 746,878 is: 1,641,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,887 : 746,878 = 746,878 : x
  2. Step 2: Convert to fraction form
    339,887/746,878 = 746,878/x
  3. Step 3: Cross multiply
    339,887x = 746,878 × 746,878
  4. Step 4: Simplify right side
    339,887x = 557,826,746,884
  5. Step 5: Solve for x
    x = 557,826,746,884/339,887
  6. Step 6: Final answer
    x = 1,641,212.36

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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.