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Finding the Third Proportional to 350,744 and 757,530

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Solution

The third proportional to 350,744 and 757,530 is: 1,636,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,744 : 757,530 = 757,530 : x
  2. Step 2: Convert to fraction form
    350,744/757,530 = 757,530/x
  3. Step 3: Cross multiply
    350,744x = 757,530 × 757,530
  4. Step 4: Simplify right side
    350,744x = 573,851,700,900
  5. Step 5: Solve for x
    x = 573,851,700,900/350,744
  6. Step 6: Final answer
    x = 1,636,098.41

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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.