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Finding the Third Proportional to 575.50 and 1,268

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Solution

The third proportional to 575.50 and 1,268 is: 2,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.50 : 1,268 = 1,268 : x
  2. Step 2: Convert to fraction form
    575.50/1,268 = 1,268/x
  3. Step 3: Cross multiply
    575.50x = 1,268 × 1,268
  4. Step 4: Simplify right side
    575.50x = 1,607,824
  5. Step 5: Solve for x
    x = 1,607,824/575.50
  6. Step 6: Final answer
    x = 2,793.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.