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Finding the Third Proportional to 229,794 and 496,482

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Solution

The third proportional to 229,794 and 496,482 is: 1,072,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,794 : 496,482 = 496,482 : x
  2. Step 2: Convert to fraction form
    229,794/496,482 = 496,482/x
  3. Step 3: Cross multiply
    229,794x = 496,482 × 496,482
  4. Step 4: Simplify right side
    229,794x = 246,494,376,324
  5. Step 5: Solve for x
    x = 246,494,376,324/229,794
  6. Step 6: Final answer
    x = 1,072,675.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.