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Finding the Third Proportional to 269,427 and 404,179

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Solution

The third proportional to 269,427 and 404,179 is: 606,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,427 : 404,179 = 404,179 : x
  2. Step 2: Convert to fraction form
    269,427/404,179 = 404,179/x
  3. Step 3: Cross multiply
    269,427x = 404,179 × 404,179
  4. Step 4: Simplify right side
    269,427x = 163,360,664,041
  5. Step 5: Solve for x
    x = 163,360,664,041/269,427
  6. Step 6: Final answer
    x = 606,326.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.