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Finding the Third Proportional to 383,096 and 777,136

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Solution

The third proportional to 383,096 and 777,136 is: 1,576,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,096 : 777,136 = 777,136 : x
  2. Step 2: Convert to fraction form
    383,096/777,136 = 777,136/x
  3. Step 3: Cross multiply
    383,096x = 777,136 × 777,136
  4. Step 4: Simplify right side
    383,096x = 603,940,362,496
  5. Step 5: Solve for x
    x = 603,940,362,496/383,096
  6. Step 6: Final answer
    x = 1,576,472.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.