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Finding the Third Proportional to 294,230 and 629,932

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Solution

The third proportional to 294,230 and 629,932 is: 1,348,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,230 : 629,932 = 629,932 : x
  2. Step 2: Convert to fraction form
    294,230/629,932 = 629,932/x
  3. Step 3: Cross multiply
    294,230x = 629,932 × 629,932
  4. Step 4: Simplify right side
    294,230x = 396,814,324,624
  5. Step 5: Solve for x
    x = 396,814,324,624/294,230
  6. Step 6: Final answer
    x = 1,348,653.52

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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.