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Finding the Third Proportional to 329,229 and 447,166

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Solution

The third proportional to 329,229 and 447,166 is: 607,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,229 : 447,166 = 447,166 : x
  2. Step 2: Convert to fraction form
    329,229/447,166 = 447,166/x
  3. Step 3: Cross multiply
    329,229x = 447,166 × 447,166
  4. Step 4: Simplify right side
    329,229x = 199,957,431,556
  5. Step 5: Solve for x
    x = 199,957,431,556/329,229
  6. Step 6: Final answer
    x = 607,350.60

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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.