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Finding the Third Proportional to 379,974 and 810,800

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Solution

The third proportional to 379,974 and 810,800 is: 1,730,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,974 : 810,800 = 810,800 : x
  2. Step 2: Convert to fraction form
    379,974/810,800 = 810,800/x
  3. Step 3: Cross multiply
    379,974x = 810,800 × 810,800
  4. Step 4: Simplify right side
    379,974x = 657,396,640,000
  5. Step 5: Solve for x
    x = 657,396,640,000/379,974
  6. Step 6: Final answer
    x = 1,730,109.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.