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Finding the Third Proportional to 228,337.88 and 490,343.06

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Solution

The third proportional to 228,337.88 and 490,343.06 is: 1,052,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,337.88 : 490,343.06 = 490,343.06 : x
  2. Step 2: Convert to fraction form
    228,337.88/490,343.06 = 490,343.06/x
  3. Step 3: Cross multiply
    228,337.88x = 490,343.06 × 490,343.06
  4. Step 4: Simplify right side
    228,337.88x = 240,436,318,941.88
  5. Step 5: Solve for x
    x = 240,436,318,941.88/228,337.88
  6. Step 6: Final answer
    x = 1,052,984.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.