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Finding the Third Proportional to 286,056 and 629,241

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Solution

The third proportional to 286,056 and 629,241 is: 1,384,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,056 : 629,241 = 629,241 : x
  2. Step 2: Convert to fraction form
    286,056/629,241 = 629,241/x
  3. Step 3: Cross multiply
    286,056x = 629,241 × 629,241
  4. Step 4: Simplify right side
    286,056x = 395,944,236,081
  5. Step 5: Solve for x
    x = 395,944,236,081/286,056
  6. Step 6: Final answer
    x = 1,384,149.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.