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Finding the Third Proportional to 226,088 and 496,556

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Solution

The third proportional to 226,088 and 496,556 is: 1,090,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,088 : 496,556 = 496,556 : x
  2. Step 2: Convert to fraction form
    226,088/496,556 = 496,556/x
  3. Step 3: Cross multiply
    226,088x = 496,556 × 496,556
  4. Step 4: Simplify right side
    226,088x = 246,567,861,136
  5. Step 5: Solve for x
    x = 246,567,861,136/226,088
  6. Step 6: Final answer
    x = 1,090,583.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.