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Finding the Third Proportional to 228,340.88 and 516,453.75

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Solution

The third proportional to 228,340.88 and 516,453.75 is: 1,168,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,340.88 : 516,453.75 = 516,453.75 : x
  2. Step 2: Convert to fraction form
    228,340.88/516,453.75 = 516,453.75/x
  3. Step 3: Cross multiply
    228,340.88x = 516,453.75 × 516,453.75
  4. Step 4: Simplify right side
    228,340.88x = 266,724,475,889.06
  5. Step 5: Solve for x
    x = 266,724,475,889.06/228,340.88
  6. Step 6: Final answer
    x = 1,168,097.81

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.