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Finding the Third Proportional to 274,944 and 409,824

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Solution

The third proportional to 274,944 and 409,824 is: 610,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,944 : 409,824 = 409,824 : x
  2. Step 2: Convert to fraction form
    274,944/409,824 = 409,824/x
  3. Step 3: Cross multiply
    274,944x = 409,824 × 409,824
  4. Step 4: Simplify right side
    274,944x = 167,955,710,976
  5. Step 5: Solve for x
    x = 167,955,710,976/274,944
  6. Step 6: Final answer
    x = 610,872.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.