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Finding the Third Proportional to 338,272.50 and 743,505

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Solution

The third proportional to 338,272.50 and 743,505 is: 1,634,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,272.50 : 743,505 = 743,505 : x
  2. Step 2: Convert to fraction form
    338,272.50/743,505 = 743,505/x
  3. Step 3: Cross multiply
    338,272.50x = 743,505 × 743,505
  4. Step 4: Simplify right side
    338,272.50x = 552,799,685,025
  5. Step 5: Solve for x
    x = 552,799,685,025/338,272.50
  6. Step 6: Final answer
    x = 1,634,184.53

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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.