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Finding the Third Proportional to 414,528.75 and 892,480.50

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Solution

The third proportional to 414,528.75 and 892,480.50 is: 1,921,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,528.75 : 892,480.50 = 892,480.50 : x
  2. Step 2: Convert to fraction form
    414,528.75/892,480.50 = 892,480.50/x
  3. Step 3: Cross multiply
    414,528.75x = 892,480.50 × 892,480.50
  4. Step 4: Simplify right side
    414,528.75x = 796,521,442,880.25
  5. Step 5: Solve for x
    x = 796,521,442,880.25/414,528.75
  6. Step 6: Final answer
    x = 1,921,510.73

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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.