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Finding the Third Proportional to 491,232.09 and 733,814.44

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Solution

The third proportional to 491,232.09 and 733,814.44 is: 1,096,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,232.09 : 733,814.44 = 733,814.44 : x
  2. Step 2: Convert to fraction form
    491,232.09/733,814.44 = 733,814.44/x
  3. Step 3: Cross multiply
    491,232.09x = 733,814.44 × 733,814.44
  4. Step 4: Simplify right side
    491,232.09x = 538,483,628,683.44
  5. Step 5: Solve for x
    x = 538,483,628,683.44/491,232.09
  6. Step 6: Final answer
    x = 1,096,189.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.