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Finding the Third Proportional to 248,864 and 382,512

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Solution

The third proportional to 248,864 and 382,512 is: 587,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,864 : 382,512 = 382,512 : x
  2. Step 2: Convert to fraction form
    248,864/382,512 = 382,512/x
  3. Step 3: Cross multiply
    248,864x = 382,512 × 382,512
  4. Step 4: Simplify right side
    248,864x = 146,315,430,144
  5. Step 5: Solve for x
    x = 146,315,430,144/248,864
  6. Step 6: Final answer
    x = 587,933.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.