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Finding the Third Proportional to 338,284.50 and 743,529

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Solution

The third proportional to 338,284.50 and 743,529 is: 1,634,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,284.50 : 743,529 = 743,529 : x
  2. Step 2: Convert to fraction form
    338,284.50/743,529 = 743,529/x
  3. Step 3: Cross multiply
    338,284.50x = 743,529 × 743,529
  4. Step 4: Simplify right side
    338,284.50x = 552,835,373,841
  5. Step 5: Solve for x
    x = 552,835,373,841/338,284.50
  6. Step 6: Final answer
    x = 1,634,232.06

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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.