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Finding the Third Proportional to 367,678 and 589,909

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Solution

The third proportional to 367,678 and 589,909 is: 946,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,678 : 589,909 = 589,909 : x
  2. Step 2: Convert to fraction form
    367,678/589,909 = 589,909/x
  3. Step 3: Cross multiply
    367,678x = 589,909 × 589,909
  4. Step 4: Simplify right side
    367,678x = 347,992,628,281
  5. Step 5: Solve for x
    x = 347,992,628,281/367,678
  6. Step 6: Final answer
    x = 946,460.29

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.