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Finding the Third Proportional to 301,198 and 654,884

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Solution

The third proportional to 301,198 and 654,884 is: 1,423,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,198 : 654,884 = 654,884 : x
  2. Step 2: Convert to fraction form
    301,198/654,884 = 654,884/x
  3. Step 3: Cross multiply
    301,198x = 654,884 × 654,884
  4. Step 4: Simplify right side
    301,198x = 428,873,053,456
  5. Step 5: Solve for x
    x = 428,873,053,456/301,198
  6. Step 6: Final answer
    x = 1,423,890.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.