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Finding the Third Proportional to 537 and 623

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Solution

The third proportional to 537 and 623 is: 722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 623 = 623 : x
  2. Step 2: Convert to fraction form
    537/623 = 623/x
  3. Step 3: Cross multiply
    537x = 623 × 623
  4. Step 4: Simplify right side
    537x = 388,129
  5. Step 5: Solve for x
    x = 388,129/537
  6. Step 6: Final answer
    x = 722.77

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