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Finding the Third Proportional to 248,260 and 379,734

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Solution

The third proportional to 248,260 and 379,734 is: 580,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,260 : 379,734 = 379,734 : x
  2. Step 2: Convert to fraction form
    248,260/379,734 = 379,734/x
  3. Step 3: Cross multiply
    248,260x = 379,734 × 379,734
  4. Step 4: Simplify right side
    248,260x = 144,197,910,756
  5. Step 5: Solve for x
    x = 144,197,910,756/248,260
  6. Step 6: Final answer
    x = 580,834.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.