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Finding the Third Proportional to 191,541 and 416,589

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Solution

The third proportional to 191,541 and 416,589 is: 906,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,541 : 416,589 = 416,589 : x
  2. Step 2: Convert to fraction form
    191,541/416,589 = 416,589/x
  3. Step 3: Cross multiply
    191,541x = 416,589 × 416,589
  4. Step 4: Simplify right side
    191,541x = 173,546,394,921
  5. Step 5: Solve for x
    x = 173,546,394,921/191,541
  6. Step 6: Final answer
    x = 906,053.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.