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Finding the Third Proportional to 368,174 and 794,338

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Solution

The third proportional to 368,174 and 794,338 is: 1,713,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,174 : 794,338 = 794,338 : x
  2. Step 2: Convert to fraction form
    368,174/794,338 = 794,338/x
  3. Step 3: Cross multiply
    368,174x = 794,338 × 794,338
  4. Step 4: Simplify right side
    368,174x = 630,972,858,244
  5. Step 5: Solve for x
    x = 630,972,858,244/368,174
  6. Step 6: Final answer
    x = 1,713,789.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.