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Finding the Third Proportional to 297,718 and 446,631

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Solution

The third proportional to 297,718 and 446,631 is: 670,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,718 : 446,631 = 446,631 : x
  2. Step 2: Convert to fraction form
    297,718/446,631 = 446,631/x
  3. Step 3: Cross multiply
    297,718x = 446,631 × 446,631
  4. Step 4: Simplify right side
    297,718x = 199,479,250,161
  5. Step 5: Solve for x
    x = 199,479,250,161/297,718
  6. Step 6: Final answer
    x = 670,027.51

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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.