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Finding the Third Proportional to 345,198.38 and 738,375.75

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Solution

The third proportional to 345,198.38 and 738,375.75 is: 1,579,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,198.38 : 738,375.75 = 738,375.75 : x
  2. Step 2: Convert to fraction form
    345,198.38/738,375.75 = 738,375.75/x
  3. Step 3: Cross multiply
    345,198.38x = 738,375.75 × 738,375.75
  4. Step 4: Simplify right side
    345,198.38x = 545,198,748,188.06
  5. Step 5: Solve for x
    x = 545,198,748,188.06/345,198.38
  6. Step 6: Final answer
    x = 1,579,378.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.