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Finding the Third Proportional to 294,212 and 629,896

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Solution

The third proportional to 294,212 and 629,896 is: 1,348,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,212 : 629,896 = 629,896 : x
  2. Step 2: Convert to fraction form
    294,212/629,896 = 629,896/x
  3. Step 3: Cross multiply
    294,212x = 629,896 × 629,896
  4. Step 4: Simplify right side
    294,212x = 396,768,970,816
  5. Step 5: Solve for x
    x = 396,768,970,816/294,212
  6. Step 6: Final answer
    x = 1,348,581.88

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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.