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Finding the Third Proportional to 395,544 and 876,504

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Solution

The third proportional to 395,544 and 876,504 is: 1,942,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,544 : 876,504 = 876,504 : x
  2. Step 2: Convert to fraction form
    395,544/876,504 = 876,504/x
  3. Step 3: Cross multiply
    395,544x = 876,504 × 876,504
  4. Step 4: Simplify right side
    395,544x = 768,259,262,016
  5. Step 5: Solve for x
    x = 768,259,262,016/395,544
  6. Step 6: Final answer
    x = 1,942,285.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.