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Finding the Third Proportional to 383,224 and 806,136

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Solution

The third proportional to 383,224 and 806,136 is: 1,695,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,224 : 806,136 = 806,136 : x
  2. Step 2: Convert to fraction form
    383,224/806,136 = 806,136/x
  3. Step 3: Cross multiply
    383,224x = 806,136 × 806,136
  4. Step 4: Simplify right side
    383,224x = 649,855,250,496
  5. Step 5: Solve for x
    x = 649,855,250,496/383,224
  6. Step 6: Final answer
    x = 1,695,758.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.