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Finding the Third Proportional to 299,394 and 449,055

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Solution

The third proportional to 299,394 and 449,055 is: 673,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,394 : 449,055 = 449,055 : x
  2. Step 2: Convert to fraction form
    299,394/449,055 = 449,055/x
  3. Step 3: Cross multiply
    299,394x = 449,055 × 449,055
  4. Step 4: Simplify right side
    299,394x = 201,650,393,025
  5. Step 5: Solve for x
    x = 201,650,393,025/299,394
  6. Step 6: Final answer
    x = 673,528.50

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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.