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Finding the Third Proportional to 297,382 and 446,163

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Solution

The third proportional to 297,382 and 446,163 is: 669,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,382 : 446,163 = 446,163 : x
  2. Step 2: Convert to fraction form
    297,382/446,163 = 446,163/x
  3. Step 3: Cross multiply
    297,382x = 446,163 × 446,163
  4. Step 4: Simplify right side
    297,382x = 199,061,422,569
  5. Step 5: Solve for x
    x = 199,061,422,569/297,382
  6. Step 6: Final answer
    x = 669,379.53

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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.