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Finding the Third Proportional to 264,840 and 397,851

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Solution

The third proportional to 264,840 and 397,851 is: 597,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,840 : 397,851 = 397,851 : x
  2. Step 2: Convert to fraction form
    264,840/397,851 = 397,851/x
  3. Step 3: Cross multiply
    264,840x = 397,851 × 397,851
  4. Step 4: Simplify right side
    264,840x = 158,285,418,201
  5. Step 5: Solve for x
    x = 158,285,418,201/264,840
  6. Step 6: Final answer
    x = 597,664.32

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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.