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Finding the Third Proportional to 420,844 and 591,950

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Solution

The third proportional to 420,844 and 591,950 is: 832,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,844 : 591,950 = 591,950 : x
  2. Step 2: Convert to fraction form
    420,844/591,950 = 591,950/x
  3. Step 3: Cross multiply
    420,844x = 591,950 × 591,950
  4. Step 4: Simplify right side
    420,844x = 350,404,802,500
  5. Step 5: Solve for x
    x = 350,404,802,500/420,844
  6. Step 6: Final answer
    x = 832,623.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.