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Finding the Third Proportional to 350,788 and 757,632

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Solution

The third proportional to 350,788 and 757,632 is: 1,636,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,788 : 757,632 = 757,632 : x
  2. Step 2: Convert to fraction form
    350,788/757,632 = 757,632/x
  3. Step 3: Cross multiply
    350,788x = 757,632 × 757,632
  4. Step 4: Simplify right side
    350,788x = 574,006,247,424
  5. Step 5: Solve for x
    x = 574,006,247,424/350,788
  6. Step 6: Final answer
    x = 1,636,333.76

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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.