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Finding the Third Proportional to 381,364 and 576,966

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Solution

The third proportional to 381,364 and 576,966 is: 872,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,364 : 576,966 = 576,966 : x
  2. Step 2: Convert to fraction form
    381,364/576,966 = 576,966/x
  3. Step 3: Cross multiply
    381,364x = 576,966 × 576,966
  4. Step 4: Simplify right side
    381,364x = 332,889,765,156
  5. Step 5: Solve for x
    x = 332,889,765,156/381,364
  6. Step 6: Final answer
    x = 872,892.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.