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Finding the Third Proportional to 227,667.38 and 499,621.50

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Solution

The third proportional to 227,667.38 and 499,621.50 is: 1,096,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,667.38 : 499,621.50 = 499,621.50 : x
  2. Step 2: Convert to fraction form
    227,667.38/499,621.50 = 499,621.50/x
  3. Step 3: Cross multiply
    227,667.38x = 499,621.50 × 499,621.50
  4. Step 4: Simplify right side
    227,667.38x = 249,621,643,262.25
  5. Step 5: Solve for x
    x = 249,621,643,262.25/227,667.38
  6. Step 6: Final answer
    x = 1,096,431.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.