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Finding the Third Proportional to 227,464 and 496,336

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Solution

The third proportional to 227,464 and 496,336 is: 1,083,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,464 : 496,336 = 496,336 : x
  2. Step 2: Convert to fraction form
    227,464/496,336 = 496,336/x
  3. Step 3: Cross multiply
    227,464x = 496,336 × 496,336
  4. Step 4: Simplify right side
    227,464x = 246,349,424,896
  5. Step 5: Solve for x
    x = 246,349,424,896/227,464
  6. Step 6: Final answer
    x = 1,083,025.99

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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.