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Finding the Third Proportional to 363.50 and 417

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Solution

The third proportional to 363.50 and 417 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 417 = 417 : x
  2. Step 2: Convert to fraction form
    363.50/417 = 417/x
  3. Step 3: Cross multiply
    363.50x = 417 × 417
  4. Step 4: Simplify right side
    363.50x = 173,889
  5. Step 5: Solve for x
    x = 173,889/363.50
  6. Step 6: Final answer
    x = 478.37

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.