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Finding the Third Proportional to 291,171 and 436,757

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Solution

The third proportional to 291,171 and 436,757 is: 655,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,171 : 436,757 = 436,757 : x
  2. Step 2: Convert to fraction form
    291,171/436,757 = 436,757/x
  3. Step 3: Cross multiply
    291,171x = 436,757 × 436,757
  4. Step 4: Simplify right side
    291,171x = 190,756,677,049
  5. Step 5: Solve for x
    x = 190,756,677,049/291,171
  6. Step 6: Final answer
    x = 655,136.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.