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Finding the Third Proportional to 381,056.63 and 584,760.38

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Solution

The third proportional to 381,056.63 and 584,760.38 is: 897,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,056.63 : 584,760.38 = 584,760.38 : x
  2. Step 2: Convert to fraction form
    381,056.63/584,760.38 = 584,760.38/x
  3. Step 3: Cross multiply
    381,056.63x = 584,760.38 × 584,760.38
  4. Step 4: Simplify right side
    381,056.63x = 341,944,696,170.14
  5. Step 5: Solve for x
    x = 341,944,696,170.14/381,056.63
  6. Step 6: Final answer
    x = 897,359.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.