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Finding the Third Proportional to 399,093.75 and 857,236.50

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Solution

The third proportional to 399,093.75 and 857,236.50 is: 1,841,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,093.75 : 857,236.50 = 857,236.50 : x
  2. Step 2: Convert to fraction form
    399,093.75/857,236.50 = 857,236.50/x
  3. Step 3: Cross multiply
    399,093.75x = 857,236.50 × 857,236.50
  4. Step 4: Simplify right side
    399,093.75x = 734,854,416,932.25
  5. Step 5: Solve for x
    x = 734,854,416,932.25/399,093.75
  6. Step 6: Final answer
    x = 1,841,307.76

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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.