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Finding the Third Proportional to 411,204.75 and 645,207.75

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Solution

The third proportional to 411,204.75 and 645,207.75 is: 1,012,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,204.75 : 645,207.75 = 645,207.75 : x
  2. Step 2: Convert to fraction form
    411,204.75/645,207.75 = 645,207.75/x
  3. Step 3: Cross multiply
    411,204.75x = 645,207.75 × 645,207.75
  4. Step 4: Simplify right side
    411,204.75x = 416,293,040,660.06
  5. Step 5: Solve for x
    x = 416,293,040,660.06/411,204.75
  6. Step 6: Final answer
    x = 1,012,374.10

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