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Finding the Third Proportional to 623.63 and 978

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Solution

The third proportional to 623.63 and 978 is: 1,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.63 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    623.63/978 = 978/x
  3. Step 3: Cross multiply
    623.63x = 978 × 978
  4. Step 4: Simplify right side
    623.63x = 956,484
  5. Step 5: Solve for x
    x = 956,484/623.63
  6. Step 6: Final answer
    x = 1,533.75

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