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Finding the Third Proportional to 263,276 and 408,406

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Solution

The third proportional to 263,276 and 408,406 is: 633,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,276 : 408,406 = 408,406 : x
  2. Step 2: Convert to fraction form
    263,276/408,406 = 408,406/x
  3. Step 3: Cross multiply
    263,276x = 408,406 × 408,406
  4. Step 4: Simplify right side
    263,276x = 166,795,460,836
  5. Step 5: Solve for x
    x = 166,795,460,836/263,276
  6. Step 6: Final answer
    x = 633,538.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.