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Finding the Third Proportional to 350,772 and 757,593

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Solution

The third proportional to 350,772 and 757,593 is: 1,636,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,772 : 757,593 = 757,593 : x
  2. Step 2: Convert to fraction form
    350,772/757,593 = 757,593/x
  3. Step 3: Cross multiply
    350,772x = 757,593 × 757,593
  4. Step 4: Simplify right side
    350,772x = 573,947,153,649
  5. Step 5: Solve for x
    x = 573,947,153,649/350,772
  6. Step 6: Final answer
    x = 1,636,239.93

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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.