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Finding the Third Proportional to 353,166.75 and 784,793.25

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Solution

The third proportional to 353,166.75 and 784,793.25 is: 1,743,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,166.75 : 784,793.25 = 784,793.25 : x
  2. Step 2: Convert to fraction form
    353,166.75/784,793.25 = 784,793.25/x
  3. Step 3: Cross multiply
    353,166.75x = 784,793.25 × 784,793.25
  4. Step 4: Simplify right side
    353,166.75x = 615,900,445,245.56
  5. Step 5: Solve for x
    x = 615,900,445,245.56/353,166.75
  6. Step 6: Final answer
    x = 1,743,936.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.