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Finding the Third Proportional to 325,340 and 670,768

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Solution

The third proportional to 325,340 and 670,768 is: 1,382,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,340 : 670,768 = 670,768 : x
  2. Step 2: Convert to fraction form
    325,340/670,768 = 670,768/x
  3. Step 3: Cross multiply
    325,340x = 670,768 × 670,768
  4. Step 4: Simplify right side
    325,340x = 449,929,709,824
  5. Step 5: Solve for x
    x = 449,929,709,824/325,340
  6. Step 6: Final answer
    x = 1,382,952.33

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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.