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Finding the Third Proportional to 288,214 and 629,941

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Solution

The third proportional to 288,214 and 629,941 is: 1,376,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,214 : 629,941 = 629,941 : x
  2. Step 2: Convert to fraction form
    288,214/629,941 = 629,941/x
  3. Step 3: Cross multiply
    288,214x = 629,941 × 629,941
  4. Step 4: Simplify right side
    288,214x = 396,825,663,481
  5. Step 5: Solve for x
    x = 396,825,663,481/288,214
  6. Step 6: Final answer
    x = 1,376,843.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.