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Finding the Third Proportional to 328,100 and 469,182

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Solution

The third proportional to 328,100 and 469,182 is: 670,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,100 : 469,182 = 469,182 : x
  2. Step 2: Convert to fraction form
    328,100/469,182 = 469,182/x
  3. Step 3: Cross multiply
    328,100x = 469,182 × 469,182
  4. Step 4: Simplify right side
    328,100x = 220,131,749,124
  5. Step 5: Solve for x
    x = 220,131,749,124/328,100
  6. Step 6: Final answer
    x = 670,928.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.