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Finding the Third Proportional to 227,635.31 and 492,697.69

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Solution

The third proportional to 227,635.31 and 492,697.69 is: 1,066,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,635.31 : 492,697.69 = 492,697.69 : x
  2. Step 2: Convert to fraction form
    227,635.31/492,697.69 = 492,697.69/x
  3. Step 3: Cross multiply
    227,635.31x = 492,697.69 × 492,697.69
  4. Step 4: Simplify right side
    227,635.31x = 242,751,011,267.85
  5. Step 5: Solve for x
    x = 242,751,011,267.85/227,635.31
  6. Step 6: Final answer
    x = 1,066,403.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.