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Finding the Third Proportional to 451,964.25 and 941,377.50

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Solution

The third proportional to 451,964.25 and 941,377.50 is: 1,960,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,964.25 : 941,377.50 = 941,377.50 : x
  2. Step 2: Convert to fraction form
    451,964.25/941,377.50 = 941,377.50/x
  3. Step 3: Cross multiply
    451,964.25x = 941,377.50 × 941,377.50
  4. Step 4: Simplify right side
    451,964.25x = 886,191,597,506.25
  5. Step 5: Solve for x
    x = 886,191,597,506.25/451,964.25
  6. Step 6: Final answer
    x = 1,960,755.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.