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Finding the Third Proportional to 312,182 and 467,021

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Solution

The third proportional to 312,182 and 467,021 is: 698,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,182 : 467,021 = 467,021 : x
  2. Step 2: Convert to fraction form
    312,182/467,021 = 467,021/x
  3. Step 3: Cross multiply
    312,182x = 467,021 × 467,021
  4. Step 4: Simplify right side
    312,182x = 218,108,614,441
  5. Step 5: Solve for x
    x = 218,108,614,441/312,182
  6. Step 6: Final answer
    x = 698,658.52

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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.