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Finding the Third Proportional to 261.56 and 575.44

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Solution

The third proportional to 261.56 and 575.44 is: 1,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 575.44 = 575.44 : x
  2. Step 2: Convert to fraction form
    261.56/575.44 = 575.44/x
  3. Step 3: Cross multiply
    261.56x = 575.44 × 575.44
  4. Step 4: Simplify right side
    261.56x = 331,128.32
  5. Step 5: Solve for x
    x = 331,128.32/261.56
  6. Step 6: Final answer
    x = 1,265.96

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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.