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Finding the Third Proportional to 408,672.56 and 560,997.56

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Solution

The third proportional to 408,672.56 and 560,997.56 is: 770,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.56 : 560,997.56 = 560,997.56 : x
  2. Step 2: Convert to fraction form
    408,672.56/560,997.56 = 560,997.56/x
  3. Step 3: Cross multiply
    408,672.56x = 560,997.56 × 560,997.56
  4. Step 4: Simplify right side
    408,672.56x = 314,718,265,130.94
  5. Step 5: Solve for x
    x = 314,718,265,130.94/408,672.56
  6. Step 6: Final answer
    x = 770,098.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.