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Finding the Third Proportional to 226,028 and 497,254

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Solution

The third proportional to 226,028 and 497,254 is: 1,093,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,028 : 497,254 = 497,254 : x
  2. Step 2: Convert to fraction form
    226,028/497,254 = 497,254/x
  3. Step 3: Cross multiply
    226,028x = 497,254 × 497,254
  4. Step 4: Simplify right side
    226,028x = 247,261,540,516
  5. Step 5: Solve for x
    x = 247,261,540,516/226,028
  6. Step 6: Final answer
    x = 1,093,942.08

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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.