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Finding the Third Proportional to 329,676 and 447,840

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Solution

The third proportional to 329,676 and 447,840 is: 608,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,676 : 447,840 = 447,840 : x
  2. Step 2: Convert to fraction form
    329,676/447,840 = 447,840/x
  3. Step 3: Cross multiply
    329,676x = 447,840 × 447,840
  4. Step 4: Simplify right side
    329,676x = 200,560,665,600
  5. Step 5: Solve for x
    x = 200,560,665,600/329,676
  6. Step 6: Final answer
    x = 608,356.89

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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.