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Finding the Third Proportional to 261.97 and 571.94

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Solution

The third proportional to 261.97 and 571.94 is: 1,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 571.94 = 571.94 : x
  2. Step 2: Convert to fraction form
    261.97/571.94 = 571.94/x
  3. Step 3: Cross multiply
    261.97x = 571.94 × 571.94
  4. Step 4: Simplify right side
    261.97x = 327,112.50
  5. Step 5: Solve for x
    x = 327,112.50/261.97
  6. Step 6: Final answer
    x = 1,248.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.