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Finding the Third Proportional to 356,647 and 763,190

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Solution

The third proportional to 356,647 and 763,190 is: 1,633,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,647 : 763,190 = 763,190 : x
  2. Step 2: Convert to fraction form
    356,647/763,190 = 763,190/x
  3. Step 3: Cross multiply
    356,647x = 763,190 × 763,190
  4. Step 4: Simplify right side
    356,647x = 582,458,976,100
  5. Step 5: Solve for x
    x = 582,458,976,100/356,647
  6. Step 6: Final answer
    x = 1,633,152.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.