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Finding the Third Proportional to 420 and 818

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Solution

The third proportional to 420 and 818 is: 1,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 818 = 818 : x
  2. Step 2: Convert to fraction form
    420/818 = 818/x
  3. Step 3: Cross multiply
    420x = 818 × 818
  4. Step 4: Simplify right side
    420x = 669,124
  5. Step 5: Solve for x
    x = 669,124/420
  6. Step 6: Final answer
    x = 1,593.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.