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Finding the Third Proportional to 337,652 and 788,832

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Solution

The third proportional to 337,652 and 788,832 is: 1,842,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,652 : 788,832 = 788,832 : x
  2. Step 2: Convert to fraction form
    337,652/788,832 = 788,832/x
  3. Step 3: Cross multiply
    337,652x = 788,832 × 788,832
  4. Step 4: Simplify right side
    337,652x = 622,255,924,224
  5. Step 5: Solve for x
    x = 622,255,924,224/337,652
  6. Step 6: Final answer
    x = 1,842,891.27

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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.