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Finding the Third Proportional to 263,884 and 408,734

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Solution

The third proportional to 263,884 and 408,734 is: 633,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,884 : 408,734 = 408,734 : x
  2. Step 2: Convert to fraction form
    263,884/408,734 = 408,734/x
  3. Step 3: Cross multiply
    263,884x = 408,734 × 408,734
  4. Step 4: Simplify right side
    263,884x = 167,063,482,756
  5. Step 5: Solve for x
    x = 167,063,482,756/263,884
  6. Step 6: Final answer
    x = 633,094.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.