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Finding the Third Proportional to 299,055 and 444,262.50

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Solution

The third proportional to 299,055 and 444,262.50 is: 659,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,055 : 444,262.50 = 444,262.50 : x
  2. Step 2: Convert to fraction form
    299,055/444,262.50 = 444,262.50/x
  3. Step 3: Cross multiply
    299,055x = 444,262.50 × 444,262.50
  4. Step 4: Simplify right side
    299,055x = 197,369,168,906.25
  5. Step 5: Solve for x
    x = 197,369,168,906.25/299,055
  6. Step 6: Final answer
    x = 659,976.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.