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Finding the Third Proportional to 629,238 and 889,519.50

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Solution

The third proportional to 629,238 and 889,519.50 is: 1,257,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,238 : 889,519.50 = 889,519.50 : x
  2. Step 2: Convert to fraction form
    629,238/889,519.50 = 889,519.50/x
  3. Step 3: Cross multiply
    629,238x = 889,519.50 × 889,519.50
  4. Step 4: Simplify right side
    629,238x = 791,244,940,880.25
  5. Step 5: Solve for x
    x = 791,244,940,880.25/629,238
  6. Step 6: Final answer
    x = 1,257,465.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.