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Finding the Third Proportional to 365,069 and 797,368

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Solution

The third proportional to 365,069 and 797,368 is: 1,741,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,069 : 797,368 = 797,368 : x
  2. Step 2: Convert to fraction form
    365,069/797,368 = 797,368/x
  3. Step 3: Cross multiply
    365,069x = 797,368 × 797,368
  4. Step 4: Simplify right side
    365,069x = 635,795,727,424
  5. Step 5: Solve for x
    x = 635,795,727,424/365,069
  6. Step 6: Final answer
    x = 1,741,576.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.