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Finding the Third Proportional to 340,435.50 and 512,121.75

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Solution

The third proportional to 340,435.50 and 512,121.75 is: 770,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,435.50 : 512,121.75 = 512,121.75 : x
  2. Step 2: Convert to fraction form
    340,435.50/512,121.75 = 512,121.75/x
  3. Step 3: Cross multiply
    340,435.50x = 512,121.75 × 512,121.75
  4. Step 4: Simplify right side
    340,435.50x = 262,268,686,823.06
  5. Step 5: Solve for x
    x = 262,268,686,823.06/340,435.50
  6. Step 6: Final answer
    x = 770,391.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.