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Finding the Third Proportional to 492.75 and 540

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Solution

The third proportional to 492.75 and 540 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 540 = 540 : x
  2. Step 2: Convert to fraction form
    492.75/540 = 540/x
  3. Step 3: Cross multiply
    492.75x = 540 × 540
  4. Step 4: Simplify right side
    492.75x = 291,600
  5. Step 5: Solve for x
    x = 291,600/492.75
  6. Step 6: Final answer
    x = 591.78

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