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Finding the Third Proportional to 312,180.75 and 467,019

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Solution

The third proportional to 312,180.75 and 467,019 is: 698,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,180.75 : 467,019 = 467,019 : x
  2. Step 2: Convert to fraction form
    312,180.75/467,019 = 467,019/x
  3. Step 3: Cross multiply
    312,180.75x = 467,019 × 467,019
  4. Step 4: Simplify right side
    312,180.75x = 218,106,746,361
  5. Step 5: Solve for x
    x = 218,106,746,361/312,180.75
  6. Step 6: Final answer
    x = 698,655.33

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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.