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Finding the Third Proportional to 291,136 and 441,956

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Solution

The third proportional to 291,136 and 441,956 is: 670,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,136 : 441,956 = 441,956 : x
  2. Step 2: Convert to fraction form
    291,136/441,956 = 441,956/x
  3. Step 3: Cross multiply
    291,136x = 441,956 × 441,956
  4. Step 4: Simplify right side
    291,136x = 195,325,105,936
  5. Step 5: Solve for x
    x = 195,325,105,936/291,136
  6. Step 6: Final answer
    x = 670,906.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.