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Finding the Third Proportional to 414,874.75 and 640,739.50

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Solution

The third proportional to 414,874.75 and 640,739.50 is: 989,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,874.75 : 640,739.50 = 640,739.50 : x
  2. Step 2: Convert to fraction form
    414,874.75/640,739.50 = 640,739.50/x
  3. Step 3: Cross multiply
    414,874.75x = 640,739.50 × 640,739.50
  4. Step 4: Simplify right side
    414,874.75x = 410,547,106,860.25
  5. Step 5: Solve for x
    x = 410,547,106,860.25/414,874.75
  6. Step 6: Final answer
    x = 989,568.80

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