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Finding the Third Proportional to 312,217 and 467,069

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Solution

The third proportional to 312,217 and 467,069 is: 698,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,217 : 467,069 = 467,069 : x
  2. Step 2: Convert to fraction form
    312,217/467,069 = 467,069/x
  3. Step 3: Cross multiply
    312,217x = 467,069 × 467,069
  4. Step 4: Simplify right side
    312,217x = 218,153,450,761
  5. Step 5: Solve for x
    x = 218,153,450,761/312,217
  6. Step 6: Final answer
    x = 698,723.81

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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.