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Finding the Third Proportional to 274.69 and 490.88

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Solution

The third proportional to 274.69 and 490.88 is: 877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.69 : 490.88 = 490.88 : x
  2. Step 2: Convert to fraction form
    274.69/490.88 = 490.88/x
  3. Step 3: Cross multiply
    274.69x = 490.88 × 490.88
  4. Step 4: Simplify right side
    274.69x = 240,958.27
  5. Step 5: Solve for x
    x = 240,958.27/274.69
  6. Step 6: Final answer
    x = 877.21

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.