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Finding the Third Proportional to 297,947 and 441,126

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Solution

The third proportional to 297,947 and 441,126 is: 653,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,947 : 441,126 = 441,126 : x
  2. Step 2: Convert to fraction form
    297,947/441,126 = 441,126/x
  3. Step 3: Cross multiply
    297,947x = 441,126 × 441,126
  4. Step 4: Simplify right side
    297,947x = 194,592,147,876
  5. Step 5: Solve for x
    x = 194,592,147,876/297,947
  6. Step 6: Final answer
    x = 653,109.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.