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Finding the Third Proportional to 338,296.50 and 735,611.63

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Solution

The third proportional to 338,296.50 and 735,611.63 is: 1,599,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,296.50 : 735,611.63 = 735,611.63 : x
  2. Step 2: Convert to fraction form
    338,296.50/735,611.63 = 735,611.63/x
  3. Step 3: Cross multiply
    338,296.50x = 735,611.63 × 735,611.63
  4. Step 4: Simplify right side
    338,296.50x = 541,124,462,835.14
  5. Step 5: Solve for x
    x = 541,124,462,835.14/338,296.50
  6. Step 6: Final answer
    x = 1,599,556.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.