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Finding the Third Proportional to 350,780 and 757,616

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Solution

The third proportional to 350,780 and 757,616 is: 1,636,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,780 : 757,616 = 757,616 : x
  2. Step 2: Convert to fraction form
    350,780/757,616 = 757,616/x
  3. Step 3: Cross multiply
    350,780x = 757,616 × 757,616
  4. Step 4: Simplify right side
    350,780x = 573,982,003,456
  5. Step 5: Solve for x
    x = 573,982,003,456/350,780
  6. Step 6: Final answer
    x = 1,636,301.97

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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.