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Finding the Third Proportional to 350,721 and 757,494

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Solution

The third proportional to 350,721 and 757,494 is: 1,636,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,721 : 757,494 = 757,494 : x
  2. Step 2: Convert to fraction form
    350,721/757,494 = 757,494/x
  3. Step 3: Cross multiply
    350,721x = 757,494 × 757,494
  4. Step 4: Simplify right side
    350,721x = 573,797,160,036
  5. Step 5: Solve for x
    x = 573,797,160,036/350,721
  6. Step 6: Final answer
    x = 1,636,050.19

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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.