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Finding the Third Proportional to 363,279.75 and 560,249.25

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Solution

The third proportional to 363,279.75 and 560,249.25 is: 864,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,279.75 : 560,249.25 = 560,249.25 : x
  2. Step 2: Convert to fraction form
    363,279.75/560,249.25 = 560,249.25/x
  3. Step 3: Cross multiply
    363,279.75x = 560,249.25 × 560,249.25
  4. Step 4: Simplify right side
    363,279.75x = 313,879,222,125.56
  5. Step 5: Solve for x
    x = 313,879,222,125.56/363,279.75
  6. Step 6: Final answer
    x = 864,015.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.