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Finding the Third Proportional to 367,680 and 589,912

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Solution

The third proportional to 367,680 and 589,912 is: 946,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,680 : 589,912 = 589,912 : x
  2. Step 2: Convert to fraction form
    367,680/589,912 = 589,912/x
  3. Step 3: Cross multiply
    367,680x = 589,912 × 589,912
  4. Step 4: Simplify right side
    367,680x = 347,996,167,744
  5. Step 5: Solve for x
    x = 347,996,167,744/367,680
  6. Step 6: Final answer
    x = 946,464.77

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Why These Related Problems?

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