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Finding the Third Proportional to 433,899 and 667,369.50

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Solution

The third proportional to 433,899 and 667,369.50 is: 1,026,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,899 : 667,369.50 = 667,369.50 : x
  2. Step 2: Convert to fraction form
    433,899/667,369.50 = 667,369.50/x
  3. Step 3: Cross multiply
    433,899x = 667,369.50 × 667,369.50
  4. Step 4: Simplify right side
    433,899x = 445,382,049,530.25
  5. Step 5: Solve for x
    x = 445,382,049,530.25/433,899
  6. Step 6: Final answer
    x = 1,026,464.80

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