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Finding the Third Proportional to 337,652 and 788,834

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Solution

The third proportional to 337,652 and 788,834 is: 1,842,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,652 : 788,834 = 788,834 : x
  2. Step 2: Convert to fraction form
    337,652/788,834 = 788,834/x
  3. Step 3: Cross multiply
    337,652x = 788,834 × 788,834
  4. Step 4: Simplify right side
    337,652x = 622,259,079,556
  5. Step 5: Solve for x
    x = 622,259,079,556/337,652
  6. Step 6: Final answer
    x = 1,842,900.62

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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.