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Finding the Third Proportional to 263,016 and 427,308

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Solution

The third proportional to 263,016 and 427,308 is: 694,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,016 : 427,308 = 427,308 : x
  2. Step 2: Convert to fraction form
    263,016/427,308 = 427,308/x
  3. Step 3: Cross multiply
    263,016x = 427,308 × 427,308
  4. Step 4: Simplify right side
    263,016x = 182,592,126,864
  5. Step 5: Solve for x
    x = 182,592,126,864/263,016
  6. Step 6: Final answer
    x = 694,224.41

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.