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Finding the Third Proportional to 395,706 and 933,177

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Solution

The third proportional to 395,706 and 933,177 is: 2,200,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,706 : 933,177 = 933,177 : x
  2. Step 2: Convert to fraction form
    395,706/933,177 = 933,177/x
  3. Step 3: Cross multiply
    395,706x = 933,177 × 933,177
  4. Step 4: Simplify right side
    395,706x = 870,819,313,329
  5. Step 5: Solve for x
    x = 870,819,313,329/395,706
  6. Step 6: Final answer
    x = 2,200,672.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.