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Finding the Third Proportional to 364,398 and 798,996

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Solution

The third proportional to 364,398 and 798,996 is: 1,751,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,398 : 798,996 = 798,996 : x
  2. Step 2: Convert to fraction form
    364,398/798,996 = 798,996/x
  3. Step 3: Cross multiply
    364,398x = 798,996 × 798,996
  4. Step 4: Simplify right side
    364,398x = 638,394,608,016
  5. Step 5: Solve for x
    x = 638,394,608,016/364,398
  6. Step 6: Final answer
    x = 1,751,915.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.