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Finding the Third Proportional to 329,408 and 447,452

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Solution

The third proportional to 329,408 and 447,452 is: 607,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,408 : 447,452 = 447,452 : x
  2. Step 2: Convert to fraction form
    329,408/447,452 = 447,452/x
  3. Step 3: Cross multiply
    329,408x = 447,452 × 447,452
  4. Step 4: Simplify right side
    329,408x = 200,213,292,304
  5. Step 5: Solve for x
    x = 200,213,292,304/329,408
  6. Step 6: Final answer
    x = 607,797.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.