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Finding the Third Proportional to 406,876 and 591,846

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Solution

The third proportional to 406,876 and 591,846 is: 860,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,876 : 591,846 = 591,846 : x
  2. Step 2: Convert to fraction form
    406,876/591,846 = 591,846/x
  3. Step 3: Cross multiply
    406,876x = 591,846 × 591,846
  4. Step 4: Simplify right side
    406,876x = 350,281,687,716
  5. Step 5: Solve for x
    x = 350,281,687,716/406,876
  6. Step 6: Final answer
    x = 860,905.26

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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.