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Finding the Third Proportional to 416,079 and 896,249.25

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Solution

The third proportional to 416,079 and 896,249.25 is: 1,930,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,079 : 896,249.25 = 896,249.25 : x
  2. Step 2: Convert to fraction form
    416,079/896,249.25 = 896,249.25/x
  3. Step 3: Cross multiply
    416,079x = 896,249.25 × 896,249.25
  4. Step 4: Simplify right side
    416,079x = 803,262,718,125.56
  5. Step 5: Solve for x
    x = 803,262,718,125.56/416,079
  6. Step 6: Final answer
    x = 1,930,553.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.