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Finding the Third Proportional to 293,226 and 445,671

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Solution

The third proportional to 293,226 and 445,671 is: 677,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,226 : 445,671 = 445,671 : x
  2. Step 2: Convert to fraction form
    293,226/445,671 = 445,671/x
  3. Step 3: Cross multiply
    293,226x = 445,671 × 445,671
  4. Step 4: Simplify right side
    293,226x = 198,622,640,241
  5. Step 5: Solve for x
    x = 198,622,640,241/293,226
  6. Step 6: Final answer
    x = 677,370.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.