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Finding the Third Proportional to 490,276 and 693,766

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Solution

The third proportional to 490,276 and 693,766 is: 981,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,276 : 693,766 = 693,766 : x
  2. Step 2: Convert to fraction form
    490,276/693,766 = 693,766/x
  3. Step 3: Cross multiply
    490,276x = 693,766 × 693,766
  4. Step 4: Simplify right side
    490,276x = 481,311,262,756
  5. Step 5: Solve for x
    x = 481,311,262,756/490,276
  6. Step 6: Final answer
    x = 981,714.92

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.