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Finding the Third Proportional to 416,367 and 894,678.75

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Solution

The third proportional to 416,367 and 894,678.75 is: 1,922,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,367 : 894,678.75 = 894,678.75 : x
  2. Step 2: Convert to fraction form
    416,367/894,678.75 = 894,678.75/x
  3. Step 3: Cross multiply
    416,367x = 894,678.75 × 894,678.75
  4. Step 4: Simplify right side
    416,367x = 800,450,065,701.56
  5. Step 5: Solve for x
    x = 800,450,065,701.56/416,367
  6. Step 6: Final answer
    x = 1,922,462.79

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