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Finding the Third Proportional to 298,847 and 448,595

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Solution

The third proportional to 298,847 and 448,595 is: 673,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,847 : 448,595 = 448,595 : x
  2. Step 2: Convert to fraction form
    298,847/448,595 = 448,595/x
  3. Step 3: Cross multiply
    298,847x = 448,595 × 448,595
  4. Step 4: Simplify right side
    298,847x = 201,237,474,025
  5. Step 5: Solve for x
    x = 201,237,474,025/298,847
  6. Step 6: Final answer
    x = 673,379.60

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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.