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Finding the Third Proportional to 260,427 and 557,718

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Solution

The third proportional to 260,427 and 557,718 is: 1,194,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,427 : 557,718 = 557,718 : x
  2. Step 2: Convert to fraction form
    260,427/557,718 = 557,718/x
  3. Step 3: Cross multiply
    260,427x = 557,718 × 557,718
  4. Step 4: Simplify right side
    260,427x = 311,049,367,524
  5. Step 5: Solve for x
    x = 311,049,367,524/260,427
  6. Step 6: Final answer
    x = 1,194,382.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.