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Finding the Third Proportional to 398 and 427.50

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Solution

The third proportional to 398 and 427.50 is: 459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398 : 427.50 = 427.50 : x
  2. Step 2: Convert to fraction form
    398/427.50 = 427.50/x
  3. Step 3: Cross multiply
    398x = 427.50 × 427.50
  4. Step 4: Simplify right side
    398x = 182,756.25
  5. Step 5: Solve for x
    x = 182,756.25/398
  6. Step 6: Final answer
    x = 459.19

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.