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Finding the Third Proportional to 228,422 and 496,048

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Solution

The third proportional to 228,422 and 496,048 is: 1,077,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,422 : 496,048 = 496,048 : x
  2. Step 2: Convert to fraction form
    228,422/496,048 = 496,048/x
  3. Step 3: Cross multiply
    228,422x = 496,048 × 496,048
  4. Step 4: Simplify right side
    228,422x = 246,063,618,304
  5. Step 5: Solve for x
    x = 246,063,618,304/228,422
  6. Step 6: Final answer
    x = 1,077,232.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.