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Finding the Third Proportional to 299,914.13 and 633,544.50

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Solution

The third proportional to 299,914.13 and 633,544.50 is: 1,338,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,914.13 : 633,544.50 = 633,544.50 : x
  2. Step 2: Convert to fraction form
    299,914.13/633,544.50 = 633,544.50/x
  3. Step 3: Cross multiply
    299,914.13x = 633,544.50 × 633,544.50
  4. Step 4: Simplify right side
    299,914.13x = 401,378,633,480.25
  5. Step 5: Solve for x
    x = 401,378,633,480.25/299,914.13
  6. Step 6: Final answer
    x = 1,338,311.87

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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.