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Finding the Third Proportional to 271,676 and 597,136

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Solution

The third proportional to 271,676 and 597,136 is: 1,312,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,676 : 597,136 = 597,136 : x
  2. Step 2: Convert to fraction form
    271,676/597,136 = 597,136/x
  3. Step 3: Cross multiply
    271,676x = 597,136 × 597,136
  4. Step 4: Simplify right side
    271,676x = 356,571,402,496
  5. Step 5: Solve for x
    x = 356,571,402,496/271,676
  6. Step 6: Final answer
    x = 1,312,487.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.