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Finding the Third Proportional to 312,295 and 467,589

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Solution

The third proportional to 312,295 and 467,589 is: 700,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,295 : 467,589 = 467,589 : x
  2. Step 2: Convert to fraction form
    312,295/467,589 = 467,589/x
  3. Step 3: Cross multiply
    312,295x = 467,589 × 467,589
  4. Step 4: Simplify right side
    312,295x = 218,639,472,921
  5. Step 5: Solve for x
    x = 218,639,472,921/312,295
  6. Step 6: Final answer
    x = 700,105.58

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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.