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Finding the Third Proportional to 405,638 and 865,568.75

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Solution

The third proportional to 405,638 and 865,568.75 is: 1,846,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,638 : 865,568.75 = 865,568.75 : x
  2. Step 2: Convert to fraction form
    405,638/865,568.75 = 865,568.75/x
  3. Step 3: Cross multiply
    405,638x = 865,568.75 × 865,568.75
  4. Step 4: Simplify right side
    405,638x = 749,209,260,976.56
  5. Step 5: Solve for x
    x = 749,209,260,976.56/405,638
  6. Step 6: Final answer
    x = 1,846,989.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.