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Finding the Third Proportional to 298,964 and 447,622

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Solution

The third proportional to 298,964 and 447,622 is: 670,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964 : 447,622 = 447,622 : x
  2. Step 2: Convert to fraction form
    298,964/447,622 = 447,622/x
  3. Step 3: Cross multiply
    298,964x = 447,622 × 447,622
  4. Step 4: Simplify right side
    298,964x = 200,365,454,884
  5. Step 5: Solve for x
    x = 200,365,454,884/298,964
  6. Step 6: Final answer
    x = 670,199.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.