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Finding the Third Proportional to 294,227 and 629,926

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Solution

The third proportional to 294,227 and 629,926 is: 1,348,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,227 : 629,926 = 629,926 : x
  2. Step 2: Convert to fraction form
    294,227/629,926 = 629,926/x
  3. Step 3: Cross multiply
    294,227x = 629,926 × 629,926
  4. Step 4: Simplify right side
    294,227x = 396,806,765,476
  5. Step 5: Solve for x
    x = 396,806,765,476/294,227
  6. Step 6: Final answer
    x = 1,348,641.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.