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Finding the Third Proportional to 433,614 and 667,317

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Solution

The third proportional to 433,614 and 667,317 is: 1,026,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,614 : 667,317 = 667,317 : x
  2. Step 2: Convert to fraction form
    433,614/667,317 = 667,317/x
  3. Step 3: Cross multiply
    433,614x = 667,317 × 667,317
  4. Step 4: Simplify right side
    433,614x = 445,311,978,489
  5. Step 5: Solve for x
    x = 445,311,978,489/433,614
  6. Step 6: Final answer
    x = 1,026,977.86

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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.