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Finding the Third Proportional to 232,492 and 474,824

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Solution

The third proportional to 232,492 and 474,824 is: 969,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,492 : 474,824 = 474,824 : x
  2. Step 2: Convert to fraction form
    232,492/474,824 = 474,824/x
  3. Step 3: Cross multiply
    232,492x = 474,824 × 474,824
  4. Step 4: Simplify right side
    232,492x = 225,457,830,976
  5. Step 5: Solve for x
    x = 225,457,830,976/232,492
  6. Step 6: Final answer
    x = 969,744.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.