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Finding the Third Proportional to 360,632 and 769,512

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Solution

The third proportional to 360,632 and 769,512 is: 1,641,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,632 : 769,512 = 769,512 : x
  2. Step 2: Convert to fraction form
    360,632/769,512 = 769,512/x
  3. Step 3: Cross multiply
    360,632x = 769,512 × 769,512
  4. Step 4: Simplify right side
    360,632x = 592,148,718,144
  5. Step 5: Solve for x
    x = 592,148,718,144/360,632
  6. Step 6: Final answer
    x = 1,641,974.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.