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Finding the Third Proportional to 297,439 and 446,819

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Solution

The third proportional to 297,439 and 446,819 is: 671,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,439 : 446,819 = 446,819 : x
  2. Step 2: Convert to fraction form
    297,439/446,819 = 446,819/x
  3. Step 3: Cross multiply
    297,439x = 446,819 × 446,819
  4. Step 4: Simplify right side
    297,439x = 199,647,218,761
  5. Step 5: Solve for x
    x = 199,647,218,761/297,439
  6. Step 6: Final answer
    x = 671,220.72

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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.