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Finding the Third Proportional to 276.75 and 451.63

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Solution

The third proportional to 276.75 and 451.63 is: 737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.75 : 451.63 = 451.63 : x
  2. Step 2: Convert to fraction form
    276.75/451.63 = 451.63/x
  3. Step 3: Cross multiply
    276.75x = 451.63 × 451.63
  4. Step 4: Simplify right side
    276.75x = 203,965.14
  5. Step 5: Solve for x
    x = 203,965.14/276.75
  6. Step 6: Final answer
    x = 737.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.