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Finding the Third Proportional to 250,048 and 520,824

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Solution

The third proportional to 250,048 and 520,824 is: 1,084,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,048 : 520,824 = 520,824 : x
  2. Step 2: Convert to fraction form
    250,048/520,824 = 520,824/x
  3. Step 3: Cross multiply
    250,048x = 520,824 × 520,824
  4. Step 4: Simplify right side
    250,048x = 271,257,638,976
  5. Step 5: Solve for x
    x = 271,257,638,976/250,048
  6. Step 6: Final answer
    x = 1,084,822.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.