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Finding the Third Proportional to 346 and 486

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Solution

The third proportional to 346 and 486 is: 682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346 : 486 = 486 : x
  2. Step 2: Convert to fraction form
    346/486 = 486/x
  3. Step 3: Cross multiply
    346x = 486 × 486
  4. Step 4: Simplify right side
    346x = 236,196
  5. Step 5: Solve for x
    x = 236,196/346
  6. Step 6: Final answer
    x = 682.65

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