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Finding the Third Proportional to 341,173.69 and 505,107.56

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Solution

The third proportional to 341,173.69 and 505,107.56 is: 747,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,173.69 : 505,107.56 = 505,107.56 : x
  2. Step 2: Convert to fraction form
    341,173.69/505,107.56 = 505,107.56/x
  3. Step 3: Cross multiply
    341,173.69x = 505,107.56 × 505,107.56
  4. Step 4: Simplify right side
    341,173.69x = 255,133,649,694.69
  5. Step 5: Solve for x
    x = 255,133,649,694.69/341,173.69
  6. Step 6: Final answer
    x = 747,811.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.