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Finding the Third Proportional to 365,616 and 802,512

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Solution

The third proportional to 365,616 and 802,512 is: 1,761,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,616 : 802,512 = 802,512 : x
  2. Step 2: Convert to fraction form
    365,616/802,512 = 802,512/x
  3. Step 3: Cross multiply
    365,616x = 802,512 × 802,512
  4. Step 4: Simplify right side
    365,616x = 644,025,510,144
  5. Step 5: Solve for x
    x = 644,025,510,144/365,616
  6. Step 6: Final answer
    x = 1,761,480.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.