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Finding the Third Proportional to 361,296 and 794,097

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Solution

The third proportional to 361,296 and 794,097 is: 1,745,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,296 : 794,097 = 794,097 : x
  2. Step 2: Convert to fraction form
    361,296/794,097 = 794,097/x
  3. Step 3: Cross multiply
    361,296x = 794,097 × 794,097
  4. Step 4: Simplify right side
    361,296x = 630,590,045,409
  5. Step 5: Solve for x
    x = 630,590,045,409/361,296
  6. Step 6: Final answer
    x = 1,745,355.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.