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Finding the Third Proportional to 267.44 and 571.06

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Solution

The third proportional to 267.44 and 571.06 is: 1,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 571.06 = 571.06 : x
  2. Step 2: Convert to fraction form
    267.44/571.06 = 571.06/x
  3. Step 3: Cross multiply
    267.44x = 571.06 × 571.06
  4. Step 4: Simplify right side
    267.44x = 326,112.38
  5. Step 5: Solve for x
    x = 326,112.38/267.44
  6. Step 6: Final answer
    x = 1,219.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.