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Finding the Third Proportional to 338,458.50 and 743,337

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Solution

The third proportional to 338,458.50 and 743,337 is: 1,632,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,458.50 : 743,337 = 743,337 : x
  2. Step 2: Convert to fraction form
    338,458.50/743,337 = 743,337/x
  3. Step 3: Cross multiply
    338,458.50x = 743,337 × 743,337
  4. Step 4: Simplify right side
    338,458.50x = 552,549,895,569
  5. Step 5: Solve for x
    x = 552,549,895,569/338,458.50
  6. Step 6: Final answer
    x = 1,632,548.44

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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.