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Finding the Third Proportional to 275,746 and 379,718

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Solution

The third proportional to 275,746 and 379,718 is: 522,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,746 : 379,718 = 379,718 : x
  2. Step 2: Convert to fraction form
    275,746/379,718 = 379,718/x
  3. Step 3: Cross multiply
    275,746x = 379,718 × 379,718
  4. Step 4: Simplify right side
    275,746x = 144,185,759,524
  5. Step 5: Solve for x
    x = 144,185,759,524/275,746
  6. Step 6: Final answer
    x = 522,893.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.