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Finding the Third Proportional to 381,472 and 590,147

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Solution

The third proportional to 381,472 and 590,147 is: 912,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,472 : 590,147 = 590,147 : x
  2. Step 2: Convert to fraction form
    381,472/590,147 = 590,147/x
  3. Step 3: Cross multiply
    381,472x = 590,147 × 590,147
  4. Step 4: Simplify right side
    381,472x = 348,273,481,609
  5. Step 5: Solve for x
    x = 348,273,481,609/381,472
  6. Step 6: Final answer
    x = 912,972.59

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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.