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Finding the Third Proportional to 248,792 and 384,244

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Solution

The third proportional to 248,792 and 384,244 is: 593,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,792 : 384,244 = 384,244 : x
  2. Step 2: Convert to fraction form
    248,792/384,244 = 384,244/x
  3. Step 3: Cross multiply
    248,792x = 384,244 × 384,244
  4. Step 4: Simplify right side
    248,792x = 147,643,451,536
  5. Step 5: Solve for x
    x = 147,643,451,536/248,792
  6. Step 6: Final answer
    x = 593,441.31

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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.