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Finding the Third Proportional to 299,322 and 448,966

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Solution

The third proportional to 299,322 and 448,966 is: 673,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,322 : 448,966 = 448,966 : x
  2. Step 2: Convert to fraction form
    299,322/448,966 = 448,966/x
  3. Step 3: Cross multiply
    299,322x = 448,966 × 448,966
  4. Step 4: Simplify right side
    299,322x = 201,570,469,156
  5. Step 5: Solve for x
    x = 201,570,469,156/299,322
  6. Step 6: Final answer
    x = 673,423.50

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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.