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Finding the Third Proportional to 512,988.19 and 766,611.84

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Solution

The third proportional to 512,988.19 and 766,611.84 is: 1,145,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,988.19 : 766,611.84 = 766,611.84 : x
  2. Step 2: Convert to fraction form
    512,988.19/766,611.84 = 766,611.84/x
  3. Step 3: Cross multiply
    512,988.19x = 766,611.84 × 766,611.84
  4. Step 4: Simplify right side
    512,988.19x = 587,693,718,977.77
  5. Step 5: Solve for x
    x = 587,693,718,977.77/512,988.19
  6. Step 6: Final answer
    x = 1,145,628.17

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