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Finding the Third Proportional to 211,923 and 317,884

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Solution

The third proportional to 211,923 and 317,884 is: 476,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,923 : 317,884 = 317,884 : x
  2. Step 2: Convert to fraction form
    211,923/317,884 = 317,884/x
  3. Step 3: Cross multiply
    211,923x = 317,884 × 317,884
  4. Step 4: Simplify right side
    211,923x = 101,050,237,456
  5. Step 5: Solve for x
    x = 101,050,237,456/211,923
  6. Step 6: Final answer
    x = 476,825.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.