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Finding the Third Proportional to 374,170.50 and 820,770.75

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Solution

The third proportional to 374,170.50 and 820,770.75 is: 1,800,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,170.50 : 820,770.75 = 820,770.75 : x
  2. Step 2: Convert to fraction form
    374,170.50/820,770.75 = 820,770.75/x
  3. Step 3: Cross multiply
    374,170.50x = 820,770.75 × 820,770.75
  4. Step 4: Simplify right side
    374,170.50x = 673,664,624,055.56
  5. Step 5: Solve for x
    x = 673,664,624,055.56/374,170.50
  6. Step 6: Final answer
    x = 1,800,421.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.