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Finding the Third Proportional to 250,510 and 388,496

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Solution

The third proportional to 250,510 and 388,496 is: 602,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,510 : 388,496 = 388,496 : x
  2. Step 2: Convert to fraction form
    250,510/388,496 = 388,496/x
  3. Step 3: Cross multiply
    250,510x = 388,496 × 388,496
  4. Step 4: Simplify right side
    250,510x = 150,929,142,016
  5. Step 5: Solve for x
    x = 150,929,142,016/250,510
  6. Step 6: Final answer
    x = 602,487.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.