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Finding the Third Proportional to 656,212.50 and 997,591.50

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Solution

The third proportional to 656,212.50 and 997,591.50 is: 1,516,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,212.50 : 997,591.50 = 997,591.50 : x
  2. Step 2: Convert to fraction form
    656,212.50/997,591.50 = 997,591.50/x
  3. Step 3: Cross multiply
    656,212.50x = 997,591.50 × 997,591.50
  4. Step 4: Simplify right side
    656,212.50x = 995,188,800,872.25
  5. Step 5: Solve for x
    x = 995,188,800,872.25/656,212.50
  6. Step 6: Final answer
    x = 1,516,564.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.