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Finding the Third Proportional to 307,592.44 and 465,489.28

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Solution

The third proportional to 307,592.44 and 465,489.28 is: 704,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,592.44 : 465,489.28 = 465,489.28 : x
  2. Step 2: Convert to fraction form
    307,592.44/465,489.28 = 465,489.28/x
  3. Step 3: Cross multiply
    307,592.44x = 465,489.28 × 465,489.28
  4. Step 4: Simplify right side
    307,592.44x = 216,680,270,958.64
  5. Step 5: Solve for x
    x = 216,680,270,958.64/307,592.44
  6. Step 6: Final answer
    x = 704,439.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.