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Finding the Third Proportional to 259,399 and 476,174

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Solution

The third proportional to 259,399 and 476,174 is: 874,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,399 : 476,174 = 476,174 : x
  2. Step 2: Convert to fraction form
    259,399/476,174 = 476,174/x
  3. Step 3: Cross multiply
    259,399x = 476,174 × 476,174
  4. Step 4: Simplify right side
    259,399x = 226,741,678,276
  5. Step 5: Solve for x
    x = 226,741,678,276/259,399
  6. Step 6: Final answer
    x = 874,103.90

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.