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Finding the Third Proportional to 297,834 and 453,771

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Solution

The third proportional to 297,834 and 453,771 is: 691,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,834 : 453,771 = 453,771 : x
  2. Step 2: Convert to fraction form
    297,834/453,771 = 453,771/x
  3. Step 3: Cross multiply
    297,834x = 453,771 × 453,771
  4. Step 4: Simplify right side
    297,834x = 205,908,120,441
  5. Step 5: Solve for x
    x = 205,908,120,441/297,834
  6. Step 6: Final answer
    x = 691,351.96

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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.