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Finding the Third Proportional to 433,876.50 and 667,338.75

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Solution

The third proportional to 433,876.50 and 667,338.75 is: 1,026,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,876.50 : 667,338.75 = 667,338.75 : x
  2. Step 2: Convert to fraction form
    433,876.50/667,338.75 = 667,338.75/x
  3. Step 3: Cross multiply
    433,876.50x = 667,338.75 × 667,338.75
  4. Step 4: Simplify right side
    433,876.50x = 445,341,007,251.56
  5. Step 5: Solve for x
    x = 445,341,007,251.56/433,876.50
  6. Step 6: Final answer
    x = 1,026,423.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.