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Finding the Third Proportional to 655,314.75 and 993,120.75

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Solution

The third proportional to 655,314.75 and 993,120.75 is: 1,505,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,314.75 : 993,120.75 = 993,120.75 : x
  2. Step 2: Convert to fraction form
    655,314.75/993,120.75 = 993,120.75/x
  3. Step 3: Cross multiply
    655,314.75x = 993,120.75 × 993,120.75
  4. Step 4: Simplify right side
    655,314.75x = 986,288,824,080.56
  5. Step 5: Solve for x
    x = 986,288,824,080.56/655,314.75
  6. Step 6: Final answer
    x = 1,505,061.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.