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Finding the Third Proportional to 414,626 and 624,861

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Solution

The third proportional to 414,626 and 624,861 is: 941,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,626 : 624,861 = 624,861 : x
  2. Step 2: Convert to fraction form
    414,626/624,861 = 624,861/x
  3. Step 3: Cross multiply
    414,626x = 624,861 × 624,861
  4. Step 4: Simplify right side
    414,626x = 390,451,269,321
  5. Step 5: Solve for x
    x = 390,451,269,321/414,626
  6. Step 6: Final answer
    x = 941,695.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.