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Finding the Third Proportional to 514.48 and 1,090.34

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Solution

The third proportional to 514.48 and 1,090.34 is: 2,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.48 : 1,090.34 = 1,090.34 : x
  2. Step 2: Convert to fraction form
    514.48/1,090.34 = 1,090.34/x
  3. Step 3: Cross multiply
    514.48x = 1,090.34 × 1,090.34
  4. Step 4: Simplify right side
    514.48x = 1,188,832.46
  5. Step 5: Solve for x
    x = 1,188,832.46/514.48
  6. Step 6: Final answer
    x = 2,310.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.