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Finding the Third Proportional to 317,190 and 491,721

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Solution

The third proportional to 317,190 and 491,721 is: 762,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,190 : 491,721 = 491,721 : x
  2. Step 2: Convert to fraction form
    317,190/491,721 = 491,721/x
  3. Step 3: Cross multiply
    317,190x = 491,721 × 491,721
  4. Step 4: Simplify right side
    317,190x = 241,789,541,841
  5. Step 5: Solve for x
    x = 241,789,541,841/317,190
  6. Step 6: Final answer
    x = 762,286.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.