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Finding the Third Proportional to 406,874 and 591,843

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Solution

The third proportional to 406,874 and 591,843 is: 860,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,874 : 591,843 = 591,843 : x
  2. Step 2: Convert to fraction form
    406,874/591,843 = 591,843/x
  3. Step 3: Cross multiply
    406,874x = 591,843 × 591,843
  4. Step 4: Simplify right side
    406,874x = 350,278,136,649
  5. Step 5: Solve for x
    x = 350,278,136,649/406,874
  6. Step 6: Final answer
    x = 860,900.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.