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Finding the Third Proportional to 414,648 and 621,864

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Solution

The third proportional to 414,648 and 621,864 is: 932,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,648 : 621,864 = 621,864 : x
  2. Step 2: Convert to fraction form
    414,648/621,864 = 621,864/x
  3. Step 3: Cross multiply
    414,648x = 621,864 × 621,864
  4. Step 4: Simplify right side
    414,648x = 386,714,834,496
  5. Step 5: Solve for x
    x = 386,714,834,496/414,648
  6. Step 6: Final answer
    x = 932,634.03

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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.