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Finding the Third Proportional to 248,512 and 395,232

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Solution

The third proportional to 248,512 and 395,232 is: 628,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,512 : 395,232 = 395,232 : x
  2. Step 2: Convert to fraction form
    248,512/395,232 = 395,232/x
  3. Step 3: Cross multiply
    248,512x = 395,232 × 395,232
  4. Step 4: Simplify right side
    248,512x = 156,208,333,824
  5. Step 5: Solve for x
    x = 156,208,333,824/248,512
  6. Step 6: Final answer
    x = 628,574.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.