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Finding the Third Proportional to 513 and 583

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Solution

The third proportional to 513 and 583 is: 662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 583 = 583 : x
  2. Step 2: Convert to fraction form
    513/583 = 583/x
  3. Step 3: Cross multiply
    513x = 583 × 583
  4. Step 4: Simplify right side
    513x = 339,889
  5. Step 5: Solve for x
    x = 339,889/513
  6. Step 6: Final answer
    x = 662.55

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