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Finding the Third Proportional to 378,968 and 818,656

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Solution

The third proportional to 378,968 and 818,656 is: 1,768,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,968 : 818,656 = 818,656 : x
  2. Step 2: Convert to fraction form
    378,968/818,656 = 818,656/x
  3. Step 3: Cross multiply
    378,968x = 818,656 × 818,656
  4. Step 4: Simplify right side
    378,968x = 670,197,646,336
  5. Step 5: Solve for x
    x = 670,197,646,336/378,968
  6. Step 6: Final answer
    x = 1,768,480.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.