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Finding the Third Proportional to 258,147 and 379,622

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Solution

The third proportional to 258,147 and 379,622 is: 558,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,147 : 379,622 = 379,622 : x
  2. Step 2: Convert to fraction form
    258,147/379,622 = 379,622/x
  3. Step 3: Cross multiply
    258,147x = 379,622 × 379,622
  4. Step 4: Simplify right side
    258,147x = 144,112,862,884
  5. Step 5: Solve for x
    x = 144,112,862,884/258,147
  6. Step 6: Final answer
    x = 558,258.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.