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Finding the Third Proportional to 327,609 and 440,236

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Solution

The third proportional to 327,609 and 440,236 is: 591,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,609 : 440,236 = 440,236 : x
  2. Step 2: Convert to fraction form
    327,609/440,236 = 440,236/x
  3. Step 3: Cross multiply
    327,609x = 440,236 × 440,236
  4. Step 4: Simplify right side
    327,609x = 193,807,735,696
  5. Step 5: Solve for x
    x = 193,807,735,696/327,609
  6. Step 6: Final answer
    x = 591,582.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.