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Finding the Third Proportional to 213,198 and 493,611

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Solution

The third proportional to 213,198 and 493,611 is: 1,142,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,198 : 493,611 = 493,611 : x
  2. Step 2: Convert to fraction form
    213,198/493,611 = 493,611/x
  3. Step 3: Cross multiply
    213,198x = 493,611 × 493,611
  4. Step 4: Simplify right side
    213,198x = 243,651,819,321
  5. Step 5: Solve for x
    x = 243,651,819,321/213,198
  6. Step 6: Final answer
    x = 1,142,842.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.