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Finding the Third Proportional to 294,039 and 637,866

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Solution

The third proportional to 294,039 and 637,866 is: 1,383,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,039 : 637,866 = 637,866 : x
  2. Step 2: Convert to fraction form
    294,039/637,866 = 637,866/x
  3. Step 3: Cross multiply
    294,039x = 637,866 × 637,866
  4. Step 4: Simplify right side
    294,039x = 406,873,033,956
  5. Step 5: Solve for x
    x = 406,873,033,956/294,039
  6. Step 6: Final answer
    x = 1,383,738.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.