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Finding the Third Proportional to 350,745 and 757,535.25

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Solution

The third proportional to 350,745 and 757,535.25 is: 1,636,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,745 : 757,535.25 = 757,535.25 : x
  2. Step 2: Convert to fraction form
    350,745/757,535.25 = 757,535.25/x
  3. Step 3: Cross multiply
    350,745x = 757,535.25 × 757,535.25
  4. Step 4: Simplify right side
    350,745x = 573,859,654,992.56
  5. Step 5: Solve for x
    x = 573,859,654,992.56/350,745
  6. Step 6: Final answer
    x = 1,636,116.42

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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.