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Finding the Third Proportional to 299,922 and 633,558

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Solution

The third proportional to 299,922 and 633,558 is: 1,338,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,922 : 633,558 = 633,558 : x
  2. Step 2: Convert to fraction form
    299,922/633,558 = 633,558/x
  3. Step 3: Cross multiply
    299,922x = 633,558 × 633,558
  4. Step 4: Simplify right side
    299,922x = 401,395,739,364
  5. Step 5: Solve for x
    x = 401,395,739,364/299,922
  6. Step 6: Final answer
    x = 1,338,333.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.