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Finding the Third Proportional to 294,228 and 629,928

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Solution

The third proportional to 294,228 and 629,928 is: 1,348,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,228 : 629,928 = 629,928 : x
  2. Step 2: Convert to fraction form
    294,228/629,928 = 629,928/x
  3. Step 3: Cross multiply
    294,228x = 629,928 × 629,928
  4. Step 4: Simplify right side
    294,228x = 396,809,285,184
  5. Step 5: Solve for x
    x = 396,809,285,184/294,228
  6. Step 6: Final answer
    x = 1,348,645.56

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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.