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Finding the Third Proportional to 465,615 and 738,517.50

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Solution

The third proportional to 465,615 and 738,517.50 is: 1,171,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,615 : 738,517.50 = 738,517.50 : x
  2. Step 2: Convert to fraction form
    465,615/738,517.50 = 738,517.50/x
  3. Step 3: Cross multiply
    465,615x = 738,517.50 × 738,517.50
  4. Step 4: Simplify right side
    465,615x = 545,408,097,806.25
  5. Step 5: Solve for x
    x = 545,408,097,806.25/465,615
  6. Step 6: Final answer
    x = 1,171,371.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.