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Finding the Third Proportional to 227,465 and 496,338

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Solution

The third proportional to 227,465 and 496,338 is: 1,083,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,465 : 496,338 = 496,338 : x
  2. Step 2: Convert to fraction form
    227,465/496,338 = 496,338/x
  3. Step 3: Cross multiply
    227,465x = 496,338 × 496,338
  4. Step 4: Simplify right side
    227,465x = 246,351,410,244
  5. Step 5: Solve for x
    x = 246,351,410,244/227,465
  6. Step 6: Final answer
    x = 1,083,029.96

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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.