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Finding the Third Proportional to 436,833 and 925,728.75

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Solution

The third proportional to 436,833 and 925,728.75 is: 1,961,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,833 : 925,728.75 = 925,728.75 : x
  2. Step 2: Convert to fraction form
    436,833/925,728.75 = 925,728.75/x
  3. Step 3: Cross multiply
    436,833x = 925,728.75 × 925,728.75
  4. Step 4: Simplify right side
    436,833x = 856,973,718,576.56
  5. Step 5: Solve for x
    x = 856,973,718,576.56/436,833
  6. Step 6: Final answer
    x = 1,961,787.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.