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Finding the Third Proportional to 552,933 and 743,025

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Solution

The third proportional to 552,933 and 743,025 is: 998,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,933 : 743,025 = 743,025 : x
  2. Step 2: Convert to fraction form
    552,933/743,025 = 743,025/x
  3. Step 3: Cross multiply
    552,933x = 743,025 × 743,025
  4. Step 4: Simplify right side
    552,933x = 552,086,150,625
  5. Step 5: Solve for x
    x = 552,086,150,625/552,933
  6. Step 6: Final answer
    x = 998,468.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.