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Finding the Third Proportional to 269,066 and 405,647

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Solution

The third proportional to 269,066 and 405,647 is: 611,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,066 : 405,647 = 405,647 : x
  2. Step 2: Convert to fraction form
    269,066/405,647 = 405,647/x
  3. Step 3: Cross multiply
    269,066x = 405,647 × 405,647
  4. Step 4: Simplify right side
    269,066x = 164,549,488,609
  5. Step 5: Solve for x
    x = 164,549,488,609/269,066
  6. Step 6: Final answer
    x = 611,558.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.