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Finding the Third Proportional to 415,371.38 and 622,366.31

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Solution

The third proportional to 415,371.38 and 622,366.31 is: 932,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,371.38 : 622,366.31 = 622,366.31 : x
  2. Step 2: Convert to fraction form
    415,371.38/622,366.31 = 622,366.31/x
  3. Step 3: Cross multiply
    415,371.38x = 622,366.31 × 622,366.31
  4. Step 4: Simplify right side
    415,371.38x = 387,339,826,934.85
  5. Step 5: Solve for x
    x = 387,339,826,934.85/415,371.38
  6. Step 6: Final answer
    x = 932,514.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.