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Finding the Third Proportional to 776 and 1,628

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Solution

The third proportional to 776 and 1,628 is: 3,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    776 : 1,628 = 1,628 : x
  2. Step 2: Convert to fraction form
    776/1,628 = 1,628/x
  3. Step 3: Cross multiply
    776x = 1,628 × 1,628
  4. Step 4: Simplify right side
    776x = 2,650,384
  5. Step 5: Solve for x
    x = 2,650,384/776
  6. Step 6: Final answer
    x = 3,415.44

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