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Finding the Third Proportional to 350,760 and 757,569

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Solution

The third proportional to 350,760 and 757,569 is: 1,636,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,760 : 757,569 = 757,569 : x
  2. Step 2: Convert to fraction form
    350,760/757,569 = 757,569/x
  3. Step 3: Cross multiply
    350,760x = 757,569 × 757,569
  4. Step 4: Simplify right side
    350,760x = 573,910,789,761
  5. Step 5: Solve for x
    x = 573,910,789,761/350,760
  6. Step 6: Final answer
    x = 1,636,192.24

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Why These Related Problems?

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