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Finding the Third Proportional to 414,450 and 629,784

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Solution

The third proportional to 414,450 and 629,784 is: 956,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,450 : 629,784 = 629,784 : x
  2. Step 2: Convert to fraction form
    414,450/629,784 = 629,784/x
  3. Step 3: Cross multiply
    414,450x = 629,784 × 629,784
  4. Step 4: Simplify right side
    414,450x = 396,627,886,656
  5. Step 5: Solve for x
    x = 396,627,886,656/414,450
  6. Step 6: Final answer
    x = 956,998.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.