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Finding the Third Proportional to 269,235 and 422,388

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Solution

The third proportional to 269,235 and 422,388 is: 662,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,235 : 422,388 = 422,388 : x
  2. Step 2: Convert to fraction form
    269,235/422,388 = 422,388/x
  3. Step 3: Cross multiply
    269,235x = 422,388 × 422,388
  4. Step 4: Simplify right side
    269,235x = 178,411,622,544
  5. Step 5: Solve for x
    x = 178,411,622,544/269,235
  6. Step 6: Final answer
    x = 662,661.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.