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Finding the Third Proportional to 269,814 and 395,973

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Solution

The third proportional to 269,814 and 395,973 is: 581,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,814 : 395,973 = 395,973 : x
  2. Step 2: Convert to fraction form
    269,814/395,973 = 395,973/x
  3. Step 3: Cross multiply
    269,814x = 395,973 × 395,973
  4. Step 4: Simplify right side
    269,814x = 156,794,616,729
  5. Step 5: Solve for x
    x = 156,794,616,729/269,814
  6. Step 6: Final answer
    x = 581,121.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.