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Finding the Third Proportional to 433,219.50 and 966,049.31

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Solution

The third proportional to 433,219.50 and 966,049.31 is: 2,154,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,219.50 : 966,049.31 = 966,049.31 : x
  2. Step 2: Convert to fraction form
    433,219.50/966,049.31 = 966,049.31/x
  3. Step 3: Cross multiply
    433,219.50x = 966,049.31 × 966,049.31
  4. Step 4: Simplify right side
    433,219.50x = 933,251,274,181.72
  5. Step 5: Solve for x
    x = 933,251,274,181.72/433,219.50
  6. Step 6: Final answer
    x = 2,154,222.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.