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Finding the Third Proportional to 414,568 and 640,177

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Solution

The third proportional to 414,568 and 640,177 is: 988,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,568 : 640,177 = 640,177 : x
  2. Step 2: Convert to fraction form
    414,568/640,177 = 640,177/x
  3. Step 3: Cross multiply
    414,568x = 640,177 × 640,177
  4. Step 4: Simplify right side
    414,568x = 409,826,591,329
  5. Step 5: Solve for x
    x = 409,826,591,329/414,568
  6. Step 6: Final answer
    x = 988,563.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.