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Finding the Third Proportional to 275,458 and 408,093

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Solution

The third proportional to 275,458 and 408,093 is: 604,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,458 : 408,093 = 408,093 : x
  2. Step 2: Convert to fraction form
    275,458/408,093 = 408,093/x
  3. Step 3: Cross multiply
    275,458x = 408,093 × 408,093
  4. Step 4: Simplify right side
    275,458x = 166,539,896,649
  5. Step 5: Solve for x
    x = 166,539,896,649/275,458
  6. Step 6: Final answer
    x = 604,592.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.