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Finding the Third Proportional to 648.75 and 1,431.75

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Solution

The third proportional to 648.75 and 1,431.75 is: 3,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 1,431.75 = 1,431.75 : x
  2. Step 2: Convert to fraction form
    648.75/1,431.75 = 1,431.75/x
  3. Step 3: Cross multiply
    648.75x = 1,431.75 × 1,431.75
  4. Step 4: Simplify right side
    648.75x = 2,049,908.06
  5. Step 5: Solve for x
    x = 2,049,908.06/648.75
  6. Step 6: Final answer
    x = 3,159.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.