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Finding the Third Proportional to 381,549 and 590,274.75

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Solution

The third proportional to 381,549 and 590,274.75 is: 913,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,549 : 590,274.75 = 590,274.75 : x
  2. Step 2: Convert to fraction form
    381,549/590,274.75 = 590,274.75/x
  3. Step 3: Cross multiply
    381,549x = 590,274.75 × 590,274.75
  4. Step 4: Simplify right side
    381,549x = 348,424,280,487.56
  5. Step 5: Solve for x
    x = 348,424,280,487.56/381,549
  6. Step 6: Final answer
    x = 913,183.58

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Why These Related Problems?

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