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Finding the Third Proportional to 350,676 and 757,306.75

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Solution

The third proportional to 350,676 and 757,306.75 is: 1,635,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,676 : 757,306.75 = 757,306.75 : x
  2. Step 2: Convert to fraction form
    350,676/757,306.75 = 757,306.75/x
  3. Step 3: Cross multiply
    350,676x = 757,306.75 × 757,306.75
  4. Step 4: Simplify right side
    350,676x = 573,513,513,595.56
  5. Step 5: Solve for x
    x = 573,513,513,595.56/350,676
  6. Step 6: Final answer
    x = 1,635,451.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.