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Finding the Third Proportional to 269,717 and 388,510

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Solution

The third proportional to 269,717 and 388,510 is: 559,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,717 : 388,510 = 388,510 : x
  2. Step 2: Convert to fraction form
    269,717/388,510 = 388,510/x
  3. Step 3: Cross multiply
    269,717x = 388,510 × 388,510
  4. Step 4: Simplify right side
    269,717x = 150,940,020,100
  5. Step 5: Solve for x
    x = 150,940,020,100/269,717
  6. Step 6: Final answer
    x = 559,623.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.