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Finding the Third Proportional to 511.94 and 1,096.94

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Solution

The third proportional to 511.94 and 1,096.94 is: 2,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 1,096.94 = 1,096.94 : x
  2. Step 2: Convert to fraction form
    511.94/1,096.94 = 1,096.94/x
  3. Step 3: Cross multiply
    511.94x = 1,096.94 × 1,096.94
  4. Step 4: Simplify right side
    511.94x = 1,203,271.88
  5. Step 5: Solve for x
    x = 1,203,271.88/511.94
  6. Step 6: Final answer
    x = 2,350.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.