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Finding the Third Proportional to 299,336 and 452,114

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Solution

The third proportional to 299,336 and 452,114 is: 682,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,336 : 452,114 = 452,114 : x
  2. Step 2: Convert to fraction form
    299,336/452,114 = 452,114/x
  3. Step 3: Cross multiply
    299,336x = 452,114 × 452,114
  4. Step 4: Simplify right side
    299,336x = 204,407,068,996
  5. Step 5: Solve for x
    x = 204,407,068,996/299,336
  6. Step 6: Final answer
    x = 682,868.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.