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Finding the Third Proportional to 350,761 and 757,571

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Solution

The third proportional to 350,761 and 757,571 is: 1,636,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,761 : 757,571 = 757,571 : x
  2. Step 2: Convert to fraction form
    350,761/757,571 = 757,571/x
  3. Step 3: Cross multiply
    350,761x = 757,571 × 757,571
  4. Step 4: Simplify right side
    350,761x = 573,913,820,041
  5. Step 5: Solve for x
    x = 573,913,820,041/350,761
  6. Step 6: Final answer
    x = 1,636,196.21

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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.