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Finding the Third Proportional to 412,362 and 654,183

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Solution

The third proportional to 412,362 and 654,183 is: 1,037,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,362 : 654,183 = 654,183 : x
  2. Step 2: Convert to fraction form
    412,362/654,183 = 654,183/x
  3. Step 3: Cross multiply
    412,362x = 654,183 × 654,183
  4. Step 4: Simplify right side
    412,362x = 427,955,397,489
  5. Step 5: Solve for x
    x = 427,955,397,489/412,362
  6. Step 6: Final answer
    x = 1,037,814.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.