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Finding the Third Proportional to 299,285 and 665,003.50

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Solution

The third proportional to 299,285 and 665,003.50 is: 1,477,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,285 : 665,003.50 = 665,003.50 : x
  2. Step 2: Convert to fraction form
    299,285/665,003.50 = 665,003.50/x
  3. Step 3: Cross multiply
    299,285x = 665,003.50 × 665,003.50
  4. Step 4: Simplify right side
    299,285x = 442,229,655,012.25
  5. Step 5: Solve for x
    x = 442,229,655,012.25/299,285
  6. Step 6: Final answer
    x = 1,477,620.51

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.