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Finding the Third Proportional to 408,541 and 599,676

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Solution

The third proportional to 408,541 and 599,676 is: 880,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,541 : 599,676 = 599,676 : x
  2. Step 2: Convert to fraction form
    408,541/599,676 = 599,676/x
  3. Step 3: Cross multiply
    408,541x = 599,676 × 599,676
  4. Step 4: Simplify right side
    408,541x = 359,611,304,976
  5. Step 5: Solve for x
    x = 359,611,304,976/408,541
  6. Step 6: Final answer
    x = 880,233.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.