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Finding the Third Proportional to 350,775 and 757,599

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Solution

The third proportional to 350,775 and 757,599 is: 1,636,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,775 : 757,599 = 757,599 : x
  2. Step 2: Convert to fraction form
    350,775/757,599 = 757,599/x
  3. Step 3: Cross multiply
    350,775x = 757,599 × 757,599
  4. Step 4: Simplify right side
    350,775x = 573,956,244,801
  5. Step 5: Solve for x
    x = 573,956,244,801/350,775
  6. Step 6: Final answer
    x = 1,636,251.86

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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.