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Finding the Third Proportional to 371,266 and 809,194

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Solution

The third proportional to 371,266 and 809,194 is: 1,763,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,266 : 809,194 = 809,194 : x
  2. Step 2: Convert to fraction form
    371,266/809,194 = 809,194/x
  3. Step 3: Cross multiply
    371,266x = 809,194 × 809,194
  4. Step 4: Simplify right side
    371,266x = 654,794,929,636
  5. Step 5: Solve for x
    x = 654,794,929,636/371,266
  6. Step 6: Final answer
    x = 1,763,681.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.