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Finding the Third Proportional to 276.56 and 594.94

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Solution

The third proportional to 276.56 and 594.94 is: 1,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 594.94 = 594.94 : x
  2. Step 2: Convert to fraction form
    276.56/594.94 = 594.94/x
  3. Step 3: Cross multiply
    276.56x = 594.94 × 594.94
  4. Step 4: Simplify right side
    276.56x = 353,950.63
  5. Step 5: Solve for x
    x = 353,950.63/276.56
  6. Step 6: Final answer
    x = 1,279.82

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Why These Related Problems?

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