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Finding the Third Proportional to 269,448 and 404,172

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Solution

The third proportional to 269,448 and 404,172 is: 606,258

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,448 : 404,172 = 404,172 : x
  2. Step 2: Convert to fraction form
    269,448/404,172 = 404,172/x
  3. Step 3: Cross multiply
    269,448x = 404,172 × 404,172
  4. Step 4: Simplify right side
    269,448x = 163,355,005,584
  5. Step 5: Solve for x
    x = 163,355,005,584/269,448
  6. Step 6: Final answer
    x = 606,258

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