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Finding the Third Proportional to 433,838 and 667,250

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Solution

The third proportional to 433,838 and 667,250 is: 1,026,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,838 : 667,250 = 667,250 : x
  2. Step 2: Convert to fraction form
    433,838/667,250 = 667,250/x
  3. Step 3: Cross multiply
    433,838x = 667,250 × 667,250
  4. Step 4: Simplify right side
    433,838x = 445,222,562,500
  5. Step 5: Solve for x
    x = 445,222,562,500/433,838
  6. Step 6: Final answer
    x = 1,026,241.51

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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.