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Finding the Third Proportional to 648.75 and 1,392

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Solution

The third proportional to 648.75 and 1,392 is: 2,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 1,392 = 1,392 : x
  2. Step 2: Convert to fraction form
    648.75/1,392 = 1,392/x
  3. Step 3: Cross multiply
    648.75x = 1,392 × 1,392
  4. Step 4: Simplify right side
    648.75x = 1,937,664
  5. Step 5: Solve for x
    x = 1,937,664/648.75
  6. Step 6: Final answer
    x = 2,986.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.