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Finding the Third Proportional to 399,103.88 and 857,256.75

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Solution

The third proportional to 399,103.88 and 857,256.75 is: 1,841,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,103.88 : 857,256.75 = 857,256.75 : x
  2. Step 2: Convert to fraction form
    399,103.88/857,256.75 = 857,256.75/x
  3. Step 3: Cross multiply
    399,103.88x = 857,256.75 × 857,256.75
  4. Step 4: Simplify right side
    399,103.88x = 734,889,135,420.56
  5. Step 5: Solve for x
    x = 734,889,135,420.56/399,103.88
  6. Step 6: Final answer
    x = 1,841,348.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.