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Finding the Third Proportional to 264,992 and 393,884

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Solution

The third proportional to 264,992 and 393,884 is: 585,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,992 : 393,884 = 393,884 : x
  2. Step 2: Convert to fraction form
    264,992/393,884 = 393,884/x
  3. Step 3: Cross multiply
    264,992x = 393,884 × 393,884
  4. Step 4: Simplify right side
    264,992x = 155,144,605,456
  5. Step 5: Solve for x
    x = 155,144,605,456/264,992
  6. Step 6: Final answer
    x = 585,469.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.