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Finding the Third Proportional to 367,676 and 589,906

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Solution

The third proportional to 367,676 and 589,906 is: 946,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,676 : 589,906 = 589,906 : x
  2. Step 2: Convert to fraction form
    367,676/589,906 = 589,906/x
  3. Step 3: Cross multiply
    367,676x = 589,906 × 589,906
  4. Step 4: Simplify right side
    367,676x = 347,989,088,836
  5. Step 5: Solve for x
    x = 347,989,088,836/367,676
  6. Step 6: Final answer
    x = 946,455.82

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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.