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Finding the Third Proportional to 241,079 and 460,279

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Solution

The third proportional to 241,079 and 460,279 is: 878,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,079 : 460,279 = 460,279 : x
  2. Step 2: Convert to fraction form
    241,079/460,279 = 460,279/x
  3. Step 3: Cross multiply
    241,079x = 460,279 × 460,279
  4. Step 4: Simplify right side
    241,079x = 211,856,757,841
  5. Step 5: Solve for x
    x = 211,856,757,841/241,079
  6. Step 6: Final answer
    x = 878,785.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.