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Finding the Third Proportional to 350,792 and 757,717

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Solution

The third proportional to 350,792 and 757,717 is: 1,636,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,792 : 757,717 = 757,717 : x
  2. Step 2: Convert to fraction form
    350,792/757,717 = 757,717/x
  3. Step 3: Cross multiply
    350,792x = 757,717 × 757,717
  4. Step 4: Simplify right side
    350,792x = 574,135,052,089
  5. Step 5: Solve for x
    x = 574,135,052,089/350,792
  6. Step 6: Final answer
    x = 1,636,682.28

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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.