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Finding the Third Proportional to 211,923 and 460,296

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Solution

The third proportional to 211,923 and 460,296 is: 999,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,923 : 460,296 = 460,296 : x
  2. Step 2: Convert to fraction form
    211,923/460,296 = 460,296/x
  3. Step 3: Cross multiply
    211,923x = 460,296 × 460,296
  4. Step 4: Simplify right side
    211,923x = 211,872,407,616
  5. Step 5: Solve for x
    x = 211,872,407,616/211,923
  6. Step 6: Final answer
    x = 999,761.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.