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Finding the Third Proportional to 392,899.50 and 642,249

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Solution

The third proportional to 392,899.50 and 642,249 is: 1,049,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,899.50 : 642,249 = 642,249 : x
  2. Step 2: Convert to fraction form
    392,899.50/642,249 = 642,249/x
  3. Step 3: Cross multiply
    392,899.50x = 642,249 × 642,249
  4. Step 4: Simplify right side
    392,899.50x = 412,483,778,001
  5. Step 5: Solve for x
    x = 412,483,778,001/392,899.50
  6. Step 6: Final answer
    x = 1,049,845.52

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.