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Finding the Third Proportional to 213,194 and 493,601

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Solution

The third proportional to 213,194 and 493,601 is: 1,142,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,194 : 493,601 = 493,601 : x
  2. Step 2: Convert to fraction form
    213,194/493,601 = 493,601/x
  3. Step 3: Cross multiply
    213,194x = 493,601 × 493,601
  4. Step 4: Simplify right side
    213,194x = 243,641,947,201
  5. Step 5: Solve for x
    x = 243,641,947,201/213,194
  6. Step 6: Final answer
    x = 1,142,818.03

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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.