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Finding the Third Proportional to 337,636 and 788,794

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Solution

The third proportional to 337,636 and 788,794 is: 1,842,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,636 : 788,794 = 788,794 : x
  2. Step 2: Convert to fraction form
    337,636/788,794 = 788,794/x
  3. Step 3: Cross multiply
    337,636x = 788,794 × 788,794
  4. Step 4: Simplify right side
    337,636x = 622,195,974,436
  5. Step 5: Solve for x
    x = 622,195,974,436/337,636
  6. Step 6: Final answer
    x = 1,842,801.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.