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Finding the Third Proportional to 335,199 and 496,279.50

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Solution

The third proportional to 335,199 and 496,279.50 is: 734,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,199 : 496,279.50 = 496,279.50 : x
  2. Step 2: Convert to fraction form
    335,199/496,279.50 = 496,279.50/x
  3. Step 3: Cross multiply
    335,199x = 496,279.50 × 496,279.50
  4. Step 4: Simplify right side
    335,199x = 246,293,342,120.25
  5. Step 5: Solve for x
    x = 246,293,342,120.25/335,199
  6. Step 6: Final answer
    x = 734,767.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.