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Finding the Third Proportional to 212,923 and 460,910

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Solution

The third proportional to 212,923 and 460,910 is: 997,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,923 : 460,910 = 460,910 : x
  2. Step 2: Convert to fraction form
    212,923/460,910 = 460,910/x
  3. Step 3: Cross multiply
    212,923x = 460,910 × 460,910
  4. Step 4: Simplify right side
    212,923x = 212,438,028,100
  5. Step 5: Solve for x
    x = 212,438,028,100/212,923
  6. Step 6: Final answer
    x = 997,722.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.