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Finding the Third Proportional to 414,400 and 892,563

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Solution

The third proportional to 414,400 and 892,563 is: 1,922,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,400 : 892,563 = 892,563 : x
  2. Step 2: Convert to fraction form
    414,400/892,563 = 892,563/x
  3. Step 3: Cross multiply
    414,400x = 892,563 × 892,563
  4. Step 4: Simplify right side
    414,400x = 796,668,708,969
  5. Step 5: Solve for x
    x = 796,668,708,969/414,400
  6. Step 6: Final answer
    x = 1,922,463.10

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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.