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Finding the Third Proportional to 227,952 and 496,039

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Solution

The third proportional to 227,952 and 496,039 is: 1,079,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,952 : 496,039 = 496,039 : x
  2. Step 2: Convert to fraction form
    227,952/496,039 = 496,039/x
  3. Step 3: Cross multiply
    227,952x = 496,039 × 496,039
  4. Step 4: Simplify right side
    227,952x = 246,054,689,521
  5. Step 5: Solve for x
    x = 246,054,689,521/227,952
  6. Step 6: Final answer
    x = 1,079,414.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.