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Finding the Third Proportional to 371,824 and 763,424

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Solution

The third proportional to 371,824 and 763,424 is: 1,567,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,824 : 763,424 = 763,424 : x
  2. Step 2: Convert to fraction form
    371,824/763,424 = 763,424/x
  3. Step 3: Cross multiply
    371,824x = 763,424 × 763,424
  4. Step 4: Simplify right side
    371,824x = 582,816,203,776
  5. Step 5: Solve for x
    x = 582,816,203,776/371,824
  6. Step 6: Final answer
    x = 1,567,451.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.