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Finding the Third Proportional to 274.01 and 398.04

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Solution

The third proportional to 274.01 and 398.04 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 398.04 = 398.04 : x
  2. Step 2: Convert to fraction form
    274.01/398.04 = 398.04/x
  3. Step 3: Cross multiply
    274.01x = 398.04 × 398.04
  4. Step 4: Simplify right side
    274.01x = 158,435.10
  5. Step 5: Solve for x
    x = 158,435.10/274.01
  6. Step 6: Final answer
    x = 578.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.