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Finding the Third Proportional to 338,851 and 451,740

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Solution

The third proportional to 338,851 and 451,740 is: 602,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,851 : 451,740 = 451,740 : x
  2. Step 2: Convert to fraction form
    338,851/451,740 = 451,740/x
  3. Step 3: Cross multiply
    338,851x = 451,740 × 451,740
  4. Step 4: Simplify right side
    338,851x = 204,069,027,600
  5. Step 5: Solve for x
    x = 204,069,027,600/338,851
  6. Step 6: Final answer
    x = 602,238.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.