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Finding the Third Proportional to 350,436.38 and 762,382.13

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Solution

The third proportional to 350,436.38 and 762,382.13 is: 1,658,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,436.38 : 762,382.13 = 762,382.13 : x
  2. Step 2: Convert to fraction form
    350,436.38/762,382.13 = 762,382.13/x
  3. Step 3: Cross multiply
    350,436.38x = 762,382.13 × 762,382.13
  4. Step 4: Simplify right side
    350,436.38x = 581,226,504,519.52
  5. Step 5: Solve for x
    x = 581,226,504,519.52/350,436.38
  6. Step 6: Final answer
    x = 1,658,579.26

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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.