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Finding the Third Proportional to 309,158 and 491,790

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Solution

The third proportional to 309,158 and 491,790 is: 782,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,158 : 491,790 = 491,790 : x
  2. Step 2: Convert to fraction form
    309,158/491,790 = 491,790/x
  3. Step 3: Cross multiply
    309,158x = 491,790 × 491,790
  4. Step 4: Simplify right side
    309,158x = 241,857,404,100
  5. Step 5: Solve for x
    x = 241,857,404,100/309,158
  6. Step 6: Final answer
    x = 782,310.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.