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Finding the Third Proportional to 214,583 and 461,890

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Solution

The third proportional to 214,583 and 461,890 is: 994,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,583 : 461,890 = 461,890 : x
  2. Step 2: Convert to fraction form
    214,583/461,890 = 461,890/x
  3. Step 3: Cross multiply
    214,583x = 461,890 × 461,890
  4. Step 4: Simplify right side
    214,583x = 213,342,372,100
  5. Step 5: Solve for x
    x = 213,342,372,100/214,583
  6. Step 6: Final answer
    x = 994,218.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.