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Finding the Third Proportional to 414,626 and 622,263

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Solution

The third proportional to 414,626 and 622,263 is: 933,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,626 : 622,263 = 622,263 : x
  2. Step 2: Convert to fraction form
    414,626/622,263 = 622,263/x
  3. Step 3: Cross multiply
    414,626x = 622,263 × 622,263
  4. Step 4: Simplify right side
    414,626x = 387,211,241,169
  5. Step 5: Solve for x
    x = 387,211,241,169/414,626
  6. Step 6: Final answer
    x = 933,880.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.