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Finding the Third Proportional to 379,266 and 814,764

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Solution

The third proportional to 379,266 and 814,764 is: 1,750,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,266 : 814,764 = 814,764 : x
  2. Step 2: Convert to fraction form
    379,266/814,764 = 814,764/x
  3. Step 3: Cross multiply
    379,266x = 814,764 × 814,764
  4. Step 4: Simplify right side
    379,266x = 663,840,375,696
  5. Step 5: Solve for x
    x = 663,840,375,696/379,266
  6. Step 6: Final answer
    x = 1,750,329.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.