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Finding the Third Proportional to 264,846 and 397,860

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Solution

The third proportional to 264,846 and 397,860 is: 597,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,846 : 397,860 = 397,860 : x
  2. Step 2: Convert to fraction form
    264,846/397,860 = 397,860/x
  3. Step 3: Cross multiply
    264,846x = 397,860 × 397,860
  4. Step 4: Simplify right side
    264,846x = 158,292,579,600
  5. Step 5: Solve for x
    x = 158,292,579,600/264,846
  6. Step 6: Final answer
    x = 597,677.82

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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.