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Finding the Third Proportional to 381,578 and 604,078

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Solution

The third proportional to 381,578 and 604,078 is: 956,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,578 : 604,078 = 604,078 : x
  2. Step 2: Convert to fraction form
    381,578/604,078 = 604,078/x
  3. Step 3: Cross multiply
    381,578x = 604,078 × 604,078
  4. Step 4: Simplify right side
    381,578x = 364,910,230,084
  5. Step 5: Solve for x
    x = 364,910,230,084/381,578
  6. Step 6: Final answer
    x = 956,318.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.