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Finding the Third Proportional to 321,973 and 699,255

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Solution

The third proportional to 321,973 and 699,255 is: 1,518,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,973 : 699,255 = 699,255 : x
  2. Step 2: Convert to fraction form
    321,973/699,255 = 699,255/x
  3. Step 3: Cross multiply
    321,973x = 699,255 × 699,255
  4. Step 4: Simplify right side
    321,973x = 488,957,555,025
  5. Step 5: Solve for x
    x = 488,957,555,025/321,973
  6. Step 6: Final answer
    x = 1,518,629.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.