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Finding the Third Proportional to 340,652 and 703,172

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Solution

The third proportional to 340,652 and 703,172 is: 1,451,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,652 : 703,172 = 703,172 : x
  2. Step 2: Convert to fraction form
    340,652/703,172 = 703,172/x
  3. Step 3: Cross multiply
    340,652x = 703,172 × 703,172
  4. Step 4: Simplify right side
    340,652x = 494,450,861,584
  5. Step 5: Solve for x
    x = 494,450,861,584/340,652
  6. Step 6: Final answer
    x = 1,451,483.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.