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Finding the Third Proportional to 410,201.44 and 620,963.44

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Solution

The third proportional to 410,201.44 and 620,963.44 is: 940,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,201.44 : 620,963.44 = 620,963.44 : x
  2. Step 2: Convert to fraction form
    410,201.44/620,963.44 = 620,963.44/x
  3. Step 3: Cross multiply
    410,201.44x = 620,963.44 × 620,963.44
  4. Step 4: Simplify right side
    410,201.44x = 385,595,590,711.82
  5. Step 5: Solve for x
    x = 385,595,590,711.82/410,201.44
  6. Step 6: Final answer
    x = 940,015.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.