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Finding the Third Proportional to 414,566 and 621,727.75

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Solution

The third proportional to 414,566 and 621,727.75 is: 932,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,566 : 621,727.75 = 621,727.75 : x
  2. Step 2: Convert to fraction form
    414,566/621,727.75 = 621,727.75/x
  3. Step 3: Cross multiply
    414,566x = 621,727.75 × 621,727.75
  4. Step 4: Simplify right side
    414,566x = 386,545,395,120.06
  5. Step 5: Solve for x
    x = 386,545,395,120.06/414,566
  6. Step 6: Final answer
    x = 932,409.79

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