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Finding the Third Proportional to 240,716 and 336,520

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Solution

The third proportional to 240,716 and 336,520 is: 470,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,716 : 336,520 = 336,520 : x
  2. Step 2: Convert to fraction form
    240,716/336,520 = 336,520/x
  3. Step 3: Cross multiply
    240,716x = 336,520 × 336,520
  4. Step 4: Simplify right side
    240,716x = 113,245,710,400
  5. Step 5: Solve for x
    x = 113,245,710,400/240,716
  6. Step 6: Final answer
    x = 470,453.61

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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.