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Finding the Third Proportional to 264,888 and 397,917

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Solution

The third proportional to 264,888 and 397,917 is: 597,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,888 : 397,917 = 397,917 : x
  2. Step 2: Convert to fraction form
    264,888/397,917 = 397,917/x
  3. Step 3: Cross multiply
    264,888x = 397,917 × 397,917
  4. Step 4: Simplify right side
    264,888x = 158,337,938,889
  5. Step 5: Solve for x
    x = 158,337,938,889/264,888
  6. Step 6: Final answer
    x = 597,754.29

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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.