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Finding the Third Proportional to 514.92 and 1,110.84

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Solution

The third proportional to 514.92 and 1,110.84 is: 2,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 1,110.84 = 1,110.84 : x
  2. Step 2: Convert to fraction form
    514.92/1,110.84 = 1,110.84/x
  3. Step 3: Cross multiply
    514.92x = 1,110.84 × 1,110.84
  4. Step 4: Simplify right side
    514.92x = 1,233,973.84
  5. Step 5: Solve for x
    x = 1,233,973.84/514.92
  6. Step 6: Final answer
    x = 2,396.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.