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Finding the Third Proportional to 226,752 and 496,512

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Solution

The third proportional to 226,752 and 496,512 is: 1,087,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,752 : 496,512 = 496,512 : x
  2. Step 2: Convert to fraction form
    226,752/496,512 = 496,512/x
  3. Step 3: Cross multiply
    226,752x = 496,512 × 496,512
  4. Step 4: Simplify right side
    226,752x = 246,524,166,144
  5. Step 5: Solve for x
    x = 246,524,166,144/226,752
  6. Step 6: Final answer
    x = 1,087,197.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.