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Finding the Third Proportional to 382,798 and 587,589

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Solution

The third proportional to 382,798 and 587,589 is: 901,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,798 : 587,589 = 587,589 : x
  2. Step 2: Convert to fraction form
    382,798/587,589 = 587,589/x
  3. Step 3: Cross multiply
    382,798x = 587,589 × 587,589
  4. Step 4: Simplify right side
    382,798x = 345,260,832,921
  5. Step 5: Solve for x
    x = 345,260,832,921/382,798
  6. Step 6: Final answer
    x = 901,940.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.