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Finding the Third Proportional to 227,881 and 496,765.50

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Solution

The third proportional to 227,881 and 496,765.50 is: 1,082,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,881 : 496,765.50 = 496,765.50 : x
  2. Step 2: Convert to fraction form
    227,881/496,765.50 = 496,765.50/x
  3. Step 3: Cross multiply
    227,881x = 496,765.50 × 496,765.50
  4. Step 4: Simplify right side
    227,881x = 246,775,961,990.25
  5. Step 5: Solve for x
    x = 246,775,961,990.25/227,881
  6. Step 6: Final answer
    x = 1,082,915.92

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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.