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Finding the Third Proportional to 518.75 and 1,090.50

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Solution

The third proportional to 518.75 and 1,090.50 is: 2,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 1,090.50 = 1,090.50 : x
  2. Step 2: Convert to fraction form
    518.75/1,090.50 = 1,090.50/x
  3. Step 3: Cross multiply
    518.75x = 1,090.50 × 1,090.50
  4. Step 4: Simplify right side
    518.75x = 1,189,190.25
  5. Step 5: Solve for x
    x = 1,189,190.25/518.75
  6. Step 6: Final answer
    x = 2,292.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.