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Finding the Third Proportional to 269,712 and 388,512

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Solution

The third proportional to 269,712 and 388,512 is: 559,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,712 : 388,512 = 388,512 : x
  2. Step 2: Convert to fraction form
    269,712/388,512 = 388,512/x
  3. Step 3: Cross multiply
    269,712x = 388,512 × 388,512
  4. Step 4: Simplify right side
    269,712x = 150,941,574,144
  5. Step 5: Solve for x
    x = 150,941,574,144/269,712
  6. Step 6: Final answer
    x = 559,639.82

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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.