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Finding the Third Proportional to 297,822 and 446,793

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Solution

The third proportional to 297,822 and 446,793 is: 670,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,822 : 446,793 = 446,793 : x
  2. Step 2: Convert to fraction form
    297,822/446,793 = 446,793/x
  3. Step 3: Cross multiply
    297,822x = 446,793 × 446,793
  4. Step 4: Simplify right side
    297,822x = 199,623,984,849
  5. Step 5: Solve for x
    x = 199,623,984,849/297,822
  6. Step 6: Final answer
    x = 670,279.51

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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.