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Finding the Third Proportional to 345,836.46 and 743,340.80

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Solution

The third proportional to 345,836.46 and 743,340.80 is: 1,597,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,836.46 : 743,340.80 = 743,340.80 : x
  2. Step 2: Convert to fraction form
    345,836.46/743,340.80 = 743,340.80/x
  3. Step 3: Cross multiply
    345,836.46x = 743,340.80 × 743,340.80
  4. Step 4: Simplify right side
    345,836.46x = 552,555,540,298.76
  5. Step 5: Solve for x
    x = 552,555,540,298.76/345,836.46
  6. Step 6: Final answer
    x = 1,597,736.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.