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Finding the Third Proportional to 263,102 and 384,824

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Solution

The third proportional to 263,102 and 384,824 is: 562,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,102 : 384,824 = 384,824 : x
  2. Step 2: Convert to fraction form
    263,102/384,824 = 384,824/x
  3. Step 3: Cross multiply
    263,102x = 384,824 × 384,824
  4. Step 4: Simplify right side
    263,102x = 148,089,510,976
  5. Step 5: Solve for x
    x = 148,089,510,976/263,102
  6. Step 6: Final answer
    x = 562,859.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.