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Finding the Third Proportional to 412,848 and 629,944

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Solution

The third proportional to 412,848 and 629,944 is: 961,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848 : 629,944 = 629,944 : x
  2. Step 2: Convert to fraction form
    412,848/629,944 = 629,944/x
  3. Step 3: Cross multiply
    412,848x = 629,944 × 629,944
  4. Step 4: Simplify right side
    412,848x = 396,829,443,136
  5. Step 5: Solve for x
    x = 396,829,443,136/412,848
  6. Step 6: Final answer
    x = 961,199.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.