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Finding the Third Proportional to 356,469 and 792,638

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Solution

The third proportional to 356,469 and 792,638 is: 1,762,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,469 : 792,638 = 792,638 : x
  2. Step 2: Convert to fraction form
    356,469/792,638 = 792,638/x
  3. Step 3: Cross multiply
    356,469x = 792,638 × 792,638
  4. Step 4: Simplify right side
    356,469x = 628,274,999,044
  5. Step 5: Solve for x
    x = 628,274,999,044/356,469
  6. Step 6: Final answer
    x = 1,762,495.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.