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Finding the Third Proportional to 269,226 and 416,819

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Solution

The third proportional to 269,226 and 416,819 is: 645,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,226 : 416,819 = 416,819 : x
  2. Step 2: Convert to fraction form
    269,226/416,819 = 416,819/x
  3. Step 3: Cross multiply
    269,226x = 416,819 × 416,819
  4. Step 4: Simplify right side
    269,226x = 173,738,078,761
  5. Step 5: Solve for x
    x = 173,738,078,761/269,226
  6. Step 6: Final answer
    x = 645,324.30

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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.