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Finding the Third Proportional to 268,174 and 397,622

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Solution

The third proportional to 268,174 and 397,622 is: 589,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,174 : 397,622 = 397,622 : x
  2. Step 2: Convert to fraction form
    268,174/397,622 = 397,622/x
  3. Step 3: Cross multiply
    268,174x = 397,622 × 397,622
  4. Step 4: Simplify right side
    268,174x = 158,103,254,884
  5. Step 5: Solve for x
    x = 158,103,254,884/268,174
  6. Step 6: Final answer
    x = 589,554.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.