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Finding the Third Proportional to 296,198 and 446,914

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Solution

The third proportional to 296,198 and 446,914 is: 674,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,198 : 446,914 = 446,914 : x
  2. Step 2: Convert to fraction form
    296,198/446,914 = 446,914/x
  3. Step 3: Cross multiply
    296,198x = 446,914 × 446,914
  4. Step 4: Simplify right side
    296,198x = 199,732,123,396
  5. Step 5: Solve for x
    x = 199,732,123,396/296,198
  6. Step 6: Final answer
    x = 674,319.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.