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Finding the Third Proportional to 264,447 and 397,247

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Solution

The third proportional to 264,447 and 397,247 is: 596,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,447 : 397,247 = 397,247 : x
  2. Step 2: Convert to fraction form
    264,447/397,247 = 397,247/x
  3. Step 3: Cross multiply
    264,447x = 397,247 × 397,247
  4. Step 4: Simplify right side
    264,447x = 157,805,179,009
  5. Step 5: Solve for x
    x = 157,805,179,009/264,447
  6. Step 6: Final answer
    x = 596,736.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.