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Finding the Third Proportional to 241,512 and 529,680

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Solution

The third proportional to 241,512 and 529,680 is: 1,161,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,512 : 529,680 = 529,680 : x
  2. Step 2: Convert to fraction form
    241,512/529,680 = 529,680/x
  3. Step 3: Cross multiply
    241,512x = 529,680 × 529,680
  4. Step 4: Simplify right side
    241,512x = 280,560,902,400
  5. Step 5: Solve for x
    x = 280,560,902,400/241,512
  6. Step 6: Final answer
    x = 1,161,685.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.