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Finding the Third Proportional to 226,111.50 and 478,983.38

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Solution

The third proportional to 226,111.50 and 478,983.38 is: 1,014,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,111.50 : 478,983.38 = 478,983.38 : x
  2. Step 2: Convert to fraction form
    226,111.50/478,983.38 = 478,983.38/x
  3. Step 3: Cross multiply
    226,111.50x = 478,983.38 × 478,983.38
  4. Step 4: Simplify right side
    226,111.50x = 229,425,073,526.39
  5. Step 5: Solve for x
    x = 229,425,073,526.39/226,111.50
  6. Step 6: Final answer
    x = 1,014,654.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.