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Finding the Third Proportional to 232,741 and 543,906

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Solution

The third proportional to 232,741 and 543,906 is: 1,271,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,741 : 543,906 = 543,906 : x
  2. Step 2: Convert to fraction form
    232,741/543,906 = 543,906/x
  3. Step 3: Cross multiply
    232,741x = 543,906 × 543,906
  4. Step 4: Simplify right side
    232,741x = 295,833,736,836
  5. Step 5: Solve for x
    x = 295,833,736,836/232,741
  6. Step 6: Final answer
    x = 1,271,085.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.