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Finding the Third Proportional to 307,688.63 and 664,584.75

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Solution

The third proportional to 307,688.63 and 664,584.75 is: 1,435,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,688.63 : 664,584.75 = 664,584.75 : x
  2. Step 2: Convert to fraction form
    307,688.63/664,584.75 = 664,584.75/x
  3. Step 3: Cross multiply
    307,688.63x = 664,584.75 × 664,584.75
  4. Step 4: Simplify right side
    307,688.63x = 441,672,889,932.56
  5. Step 5: Solve for x
    x = 441,672,889,932.56/307,688.63
  6. Step 6: Final answer
    x = 1,435,454.07

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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.