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Finding the Third Proportional to 434,793.50 and 941,964.50

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Solution

The third proportional to 434,793.50 and 941,964.50 is: 2,040,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,793.50 : 941,964.50 = 941,964.50 : x
  2. Step 2: Convert to fraction form
    434,793.50/941,964.50 = 941,964.50/x
  3. Step 3: Cross multiply
    434,793.50x = 941,964.50 × 941,964.50
  4. Step 4: Simplify right side
    434,793.50x = 887,297,119,260.25
  5. Step 5: Solve for x
    x = 887,297,119,260.25/434,793.50
  6. Step 6: Final answer
    x = 2,040,732.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.