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Finding the Third Proportional to 298,118 and 446,043

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Solution

The third proportional to 298,118 and 446,043 is: 667,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,118 : 446,043 = 446,043 : x
  2. Step 2: Convert to fraction form
    298,118/446,043 = 446,043/x
  3. Step 3: Cross multiply
    298,118x = 446,043 × 446,043
  4. Step 4: Simplify right side
    298,118x = 198,954,357,849
  5. Step 5: Solve for x
    x = 198,954,357,849/298,118
  6. Step 6: Final answer
    x = 667,367.81

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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.