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Finding the Third Proportional to 232,551 and 512,244

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Solution

The third proportional to 232,551 and 512,244 is: 1,128,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,551 : 512,244 = 512,244 : x
  2. Step 2: Convert to fraction form
    232,551/512,244 = 512,244/x
  3. Step 3: Cross multiply
    232,551x = 512,244 × 512,244
  4. Step 4: Simplify right side
    232,551x = 262,393,915,536
  5. Step 5: Solve for x
    x = 262,393,915,536/232,551
  6. Step 6: Final answer
    x = 1,128,328.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.