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Finding the Third Proportional to 291,412 and 443,164

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Solution

The third proportional to 291,412 and 443,164 is: 673,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,412 : 443,164 = 443,164 : x
  2. Step 2: Convert to fraction form
    291,412/443,164 = 443,164/x
  3. Step 3: Cross multiply
    291,412x = 443,164 × 443,164
  4. Step 4: Simplify right side
    291,412x = 196,394,330,896
  5. Step 5: Solve for x
    x = 196,394,330,896/291,412
  6. Step 6: Final answer
    x = 673,940.44

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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.