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Finding the Third Proportional to 414,942.75 and 912,195

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Solution

The third proportional to 414,942.75 and 912,195 is: 2,005,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,942.75 : 912,195 = 912,195 : x
  2. Step 2: Convert to fraction form
    414,942.75/912,195 = 912,195/x
  3. Step 3: Cross multiply
    414,942.75x = 912,195 × 912,195
  4. Step 4: Simplify right side
    414,942.75x = 832,099,718,025
  5. Step 5: Solve for x
    x = 832,099,718,025/414,942.75
  6. Step 6: Final answer
    x = 2,005,336.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.