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Finding the Third Proportional to 696 and 786

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Solution

The third proportional to 696 and 786 is: 887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 786 = 786 : x
  2. Step 2: Convert to fraction form
    696/786 = 786/x
  3. Step 3: Cross multiply
    696x = 786 × 786
  4. Step 4: Simplify right side
    696x = 617,796
  5. Step 5: Solve for x
    x = 617,796/696
  6. Step 6: Final answer
    x = 887.64

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