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Finding the Third Proportional to 299,366 and 449,043

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Solution

The third proportional to 299,366 and 449,043 is: 673,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,366 : 449,043 = 449,043 : x
  2. Step 2: Convert to fraction form
    299,366/449,043 = 449,043/x
  3. Step 3: Cross multiply
    299,366x = 449,043 × 449,043
  4. Step 4: Simplify right side
    299,366x = 201,639,615,849
  5. Step 5: Solve for x
    x = 201,639,615,849/299,366
  6. Step 6: Final answer
    x = 673,555.50

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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.