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Finding the Third Proportional to 299,224 and 447,778

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Solution

The third proportional to 299,224 and 447,778 is: 670,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,224 : 447,778 = 447,778 : x
  2. Step 2: Convert to fraction form
    299,224/447,778 = 447,778/x
  3. Step 3: Cross multiply
    299,224x = 447,778 × 447,778
  4. Step 4: Simplify right side
    299,224x = 200,505,137,284
  5. Step 5: Solve for x
    x = 200,505,137,284/299,224
  6. Step 6: Final answer
    x = 670,083.74

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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.