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Finding the Third Proportional to 511.19 and 1,090.38

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Solution

The third proportional to 511.19 and 1,090.38 is: 2,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.19 : 1,090.38 = 1,090.38 : x
  2. Step 2: Convert to fraction form
    511.19/1,090.38 = 1,090.38/x
  3. Step 3: Cross multiply
    511.19x = 1,090.38 × 1,090.38
  4. Step 4: Simplify right side
    511.19x = 1,188,917.64
  5. Step 5: Solve for x
    x = 1,188,917.64/511.19
  6. Step 6: Final answer
    x = 2,325.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.