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Finding the Third Proportional to 291,211 and 446,990

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Solution

The third proportional to 291,211 and 446,990 is: 686,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211 : 446,990 = 446,990 : x
  2. Step 2: Convert to fraction form
    291,211/446,990 = 446,990/x
  3. Step 3: Cross multiply
    291,211x = 446,990 × 446,990
  4. Step 4: Simplify right side
    291,211x = 199,800,060,100
  5. Step 5: Solve for x
    x = 199,800,060,100/291,211
  6. Step 6: Final answer
    x = 686,100.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.