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Finding the Third Proportional to 224,714 and 496,156

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Solution

The third proportional to 224,714 and 496,156 is: 1,095,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,714 : 496,156 = 496,156 : x
  2. Step 2: Convert to fraction form
    224,714/496,156 = 496,156/x
  3. Step 3: Cross multiply
    224,714x = 496,156 × 496,156
  4. Step 4: Simplify right side
    224,714x = 246,170,776,336
  5. Step 5: Solve for x
    x = 246,170,776,336/224,714
  6. Step 6: Final answer
    x = 1,095,484.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.