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Finding the Third Proportional to 240,711 and 336,504

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Solution

The third proportional to 240,711 and 336,504 is: 470,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,711 : 336,504 = 336,504 : x
  2. Step 2: Convert to fraction form
    240,711/336,504 = 336,504/x
  3. Step 3: Cross multiply
    240,711x = 336,504 × 336,504
  4. Step 4: Simplify right side
    240,711x = 113,234,942,016
  5. Step 5: Solve for x
    x = 113,234,942,016/240,711
  6. Step 6: Final answer
    x = 470,418.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.