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Finding the Third Proportional to 276 and 412.63

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Solution

The third proportional to 276 and 412.63 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276 : 412.63 = 412.63 : x
  2. Step 2: Convert to fraction form
    276/412.63 = 412.63/x
  3. Step 3: Cross multiply
    276x = 412.63 × 412.63
  4. Step 4: Simplify right side
    276x = 170,259.39
  5. Step 5: Solve for x
    x = 170,259.39/276
  6. Step 6: Final answer
    x = 616.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.