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Finding the Third Proportional to 338,171.63 and 738,672.75

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Solution

The third proportional to 338,171.63 and 738,672.75 is: 1,613,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,171.63 : 738,672.75 = 738,672.75 : x
  2. Step 2: Convert to fraction form
    338,171.63/738,672.75 = 738,672.75/x
  3. Step 3: Cross multiply
    338,171.63x = 738,672.75 × 738,672.75
  4. Step 4: Simplify right side
    338,171.63x = 545,637,431,592.56
  5. Step 5: Solve for x
    x = 545,637,431,592.56/338,171.63
  6. Step 6: Final answer
    x = 1,613,492.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.