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Finding the Third Proportional to 367,591.50 and 796,250.25

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Solution

The third proportional to 367,591.50 and 796,250.25 is: 1,724,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,591.50 : 796,250.25 = 796,250.25 : x
  2. Step 2: Convert to fraction form
    367,591.50/796,250.25 = 796,250.25/x
  3. Step 3: Cross multiply
    367,591.50x = 796,250.25 × 796,250.25
  4. Step 4: Simplify right side
    367,591.50x = 634,014,460,625.06
  5. Step 5: Solve for x
    x = 634,014,460,625.06/367,591.50
  6. Step 6: Final answer
    x = 1,724,779.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.