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Finding the Third Proportional to 437,759 and 591,675

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Solution

The third proportional to 437,759 and 591,675 is: 799,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,759 : 591,675 = 591,675 : x
  2. Step 2: Convert to fraction form
    437,759/591,675 = 591,675/x
  3. Step 3: Cross multiply
    437,759x = 591,675 × 591,675
  4. Step 4: Simplify right side
    437,759x = 350,079,305,625
  5. Step 5: Solve for x
    x = 350,079,305,625/437,759
  6. Step 6: Final answer
    x = 799,707.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.