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Finding the Third Proportional to 284,568 and 658,809

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Solution

The third proportional to 284,568 and 658,809 is: 1,525,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,568 : 658,809 = 658,809 : x
  2. Step 2: Convert to fraction form
    284,568/658,809 = 658,809/x
  3. Step 3: Cross multiply
    284,568x = 658,809 × 658,809
  4. Step 4: Simplify right side
    284,568x = 434,029,298,481
  5. Step 5: Solve for x
    x = 434,029,298,481/284,568
  6. Step 6: Final answer
    x = 1,525,221.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.