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Finding the Third Proportional to 410,231.25 and 621,006.75

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Solution

The third proportional to 410,231.25 and 621,006.75 is: 940,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,231.25 : 621,006.75 = 621,006.75 : x
  2. Step 2: Convert to fraction form
    410,231.25/621,006.75 = 621,006.75/x
  3. Step 3: Cross multiply
    410,231.25x = 621,006.75 × 621,006.75
  4. Step 4: Simplify right side
    410,231.25x = 385,649,383,545.56
  5. Step 5: Solve for x
    x = 385,649,383,545.56/410,231.25
  6. Step 6: Final answer
    x = 940,078.03

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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.