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Finding the Third Proportional to 348,375.94 and 509,120.44

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Solution

The third proportional to 348,375.94 and 509,120.44 is: 744,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,375.94 : 509,120.44 = 509,120.44 : x
  2. Step 2: Convert to fraction form
    348,375.94/509,120.44 = 509,120.44/x
  3. Step 3: Cross multiply
    348,375.94x = 509,120.44 × 509,120.44
  4. Step 4: Simplify right side
    348,375.94x = 259,203,619,880.19
  5. Step 5: Solve for x
    x = 259,203,619,880.19/348,375.94
  6. Step 6: Final answer
    x = 744,034.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.