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Finding the Third Proportional to 350,786 and 757,622

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Solution

The third proportional to 350,786 and 757,622 is: 1,636,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,786 : 757,622 = 757,622 : x
  2. Step 2: Convert to fraction form
    350,786/757,622 = 757,622/x
  3. Step 3: Cross multiply
    350,786x = 757,622 × 757,622
  4. Step 4: Simplify right side
    350,786x = 573,991,094,884
  5. Step 5: Solve for x
    x = 573,991,094,884/350,786
  6. Step 6: Final answer
    x = 1,636,299.89

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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.