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Finding the Third Proportional to 317,136.94 and 491,818.50

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Solution

The third proportional to 317,136.94 and 491,818.50 is: 762,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,136.94 : 491,818.50 = 491,818.50 : x
  2. Step 2: Convert to fraction form
    317,136.94/491,818.50 = 491,818.50/x
  3. Step 3: Cross multiply
    317,136.94x = 491,818.50 × 491,818.50
  4. Step 4: Simplify right side
    317,136.94x = 241,885,436,942.25
  5. Step 5: Solve for x
    x = 241,885,436,942.25/317,136.94
  6. Step 6: Final answer
    x = 762,716.06

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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.