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Finding the Third Proportional to 259,514 and 559,042

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Solution

The third proportional to 259,514 and 559,042 is: 1,204,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,514 : 559,042 = 559,042 : x
  2. Step 2: Convert to fraction form
    259,514/559,042 = 559,042/x
  3. Step 3: Cross multiply
    259,514x = 559,042 × 559,042
  4. Step 4: Simplify right side
    259,514x = 312,527,957,764
  5. Step 5: Solve for x
    x = 312,527,957,764/259,514
  6. Step 6: Final answer
    x = 1,204,281.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.