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Finding the Third Proportional to 362,113.50 and 796,749

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Solution

The third proportional to 362,113.50 and 796,749 is: 1,753,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,113.50 : 796,749 = 796,749 : x
  2. Step 2: Convert to fraction form
    362,113.50/796,749 = 796,749/x
  3. Step 3: Cross multiply
    362,113.50x = 796,749 × 796,749
  4. Step 4: Simplify right side
    362,113.50x = 634,808,969,001
  5. Step 5: Solve for x
    x = 634,808,969,001/362,113.50
  6. Step 6: Final answer
    x = 1,753,066.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.