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Finding the Third Proportional to 336,069 and 703,296

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Solution

The third proportional to 336,069 and 703,296 is: 1,471,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,069 : 703,296 = 703,296 : x
  2. Step 2: Convert to fraction form
    336,069/703,296 = 703,296/x
  3. Step 3: Cross multiply
    336,069x = 703,296 × 703,296
  4. Step 4: Simplify right side
    336,069x = 494,625,263,616
  5. Step 5: Solve for x
    x = 494,625,263,616/336,069
  6. Step 6: Final answer
    x = 1,471,796.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.