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Finding the Third Proportional to 338,027 and 505,987

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Solution

The third proportional to 338,027 and 505,987 is: 757,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,027 : 505,987 = 505,987 : x
  2. Step 2: Convert to fraction form
    338,027/505,987 = 505,987/x
  3. Step 3: Cross multiply
    338,027x = 505,987 × 505,987
  4. Step 4: Simplify right side
    338,027x = 256,022,844,169
  5. Step 5: Solve for x
    x = 256,022,844,169/338,027
  6. Step 6: Final answer
    x = 757,403.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.