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Finding the Third Proportional to 213,181 and 458,619

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Solution

The third proportional to 213,181 and 458,619 is: 986,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,181 : 458,619 = 458,619 : x
  2. Step 2: Convert to fraction form
    213,181/458,619 = 458,619/x
  3. Step 3: Cross multiply
    213,181x = 458,619 × 458,619
  4. Step 4: Simplify right side
    213,181x = 210,331,387,161
  5. Step 5: Solve for x
    x = 210,331,387,161/213,181
  6. Step 6: Final answer
    x = 986,632.89

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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.