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Finding the Third Proportional to 399,927.38 and 866,274.75

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Solution

The third proportional to 399,927.38 and 866,274.75 is: 1,876,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,927.38 : 866,274.75 = 866,274.75 : x
  2. Step 2: Convert to fraction form
    399,927.38/866,274.75 = 866,274.75/x
  3. Step 3: Cross multiply
    399,927.38x = 866,274.75 × 866,274.75
  4. Step 4: Simplify right side
    399,927.38x = 750,431,942,487.56
  5. Step 5: Solve for x
    x = 750,431,942,487.56/399,927.38
  6. Step 6: Final answer
    x = 1,876,420.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.