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Finding the Third Proportional to 416,667 and 589,968

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Solution

The third proportional to 416,667 and 589,968 is: 835,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,667 : 589,968 = 589,968 : x
  2. Step 2: Convert to fraction form
    416,667/589,968 = 589,968/x
  3. Step 3: Cross multiply
    416,667x = 589,968 × 589,968
  4. Step 4: Simplify right side
    416,667x = 348,062,241,024
  5. Step 5: Solve for x
    x = 348,062,241,024/416,667
  6. Step 6: Final answer
    x = 835,348.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.