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Finding the Third Proportional to 298,966 and 447,625

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Solution

The third proportional to 298,966 and 447,625 is: 670,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,966 : 447,625 = 447,625 : x
  2. Step 2: Convert to fraction form
    298,966/447,625 = 447,625/x
  3. Step 3: Cross multiply
    298,966x = 447,625 × 447,625
  4. Step 4: Simplify right side
    298,966x = 200,368,140,625
  5. Step 5: Solve for x
    x = 200,368,140,625/298,966
  6. Step 6: Final answer
    x = 670,203.77

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Why These Related Problems?

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