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Finding the Third Proportional to 338,296 and 743,552

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Solution

The third proportional to 338,296 and 743,552 is: 1,634,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,296 : 743,552 = 743,552 : x
  2. Step 2: Convert to fraction form
    338,296/743,552 = 743,552/x
  3. Step 3: Cross multiply
    338,296x = 743,552 × 743,552
  4. Step 4: Simplify right side
    338,296x = 552,869,576,704
  5. Step 5: Solve for x
    x = 552,869,576,704/338,296
  6. Step 6: Final answer
    x = 1,634,277.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.