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Finding the Third Proportional to 420,725.25 and 925,562.25

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Solution

The third proportional to 420,725.25 and 925,562.25 is: 2,036,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,725.25 : 925,562.25 = 925,562.25 : x
  2. Step 2: Convert to fraction form
    420,725.25/925,562.25 = 925,562.25/x
  3. Step 3: Cross multiply
    420,725.25x = 925,562.25 × 925,562.25
  4. Step 4: Simplify right side
    420,725.25x = 856,665,478,625.06
  5. Step 5: Solve for x
    x = 856,665,478,625.06/420,725.25
  6. Step 6: Final answer
    x = 2,036,163.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.