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Finding the Third Proportional to 250,842 and 388,566

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Solution

The third proportional to 250,842 and 388,566 is: 601,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,842 : 388,566 = 388,566 : x
  2. Step 2: Convert to fraction form
    250,842/388,566 = 388,566/x
  3. Step 3: Cross multiply
    250,842x = 388,566 × 388,566
  4. Step 4: Simplify right side
    250,842x = 150,983,536,356
  5. Step 5: Solve for x
    x = 150,983,536,356/250,842
  6. Step 6: Final answer
    x = 601,906.92

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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.