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Finding the Third Proportional to 269,001 and 416,259

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Solution

The third proportional to 269,001 and 416,259 is: 644,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,001 : 416,259 = 416,259 : x
  2. Step 2: Convert to fraction form
    269,001/416,259 = 416,259/x
  3. Step 3: Cross multiply
    269,001x = 416,259 × 416,259
  4. Step 4: Simplify right side
    269,001x = 173,271,555,081
  5. Step 5: Solve for x
    x = 173,271,555,081/269,001
  6. Step 6: Final answer
    x = 644,129.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.