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Finding the Third Proportional to 317,110.50 and 491,112

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Solution

The third proportional to 317,110.50 and 491,112 is: 760,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,110.50 : 491,112 = 491,112 : x
  2. Step 2: Convert to fraction form
    317,110.50/491,112 = 491,112/x
  3. Step 3: Cross multiply
    317,110.50x = 491,112 × 491,112
  4. Step 4: Simplify right side
    317,110.50x = 241,190,996,544
  5. Step 5: Solve for x
    x = 241,190,996,544/317,110.50
  6. Step 6: Final answer
    x = 760,589.75

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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.