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Finding the Third Proportional to 299,299.50 and 612,582.75

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Solution

The third proportional to 299,299.50 and 612,582.75 is: 1,253,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,299.50 : 612,582.75 = 612,582.75 : x
  2. Step 2: Convert to fraction form
    299,299.50/612,582.75 = 612,582.75/x
  3. Step 3: Cross multiply
    299,299.50x = 612,582.75 × 612,582.75
  4. Step 4: Simplify right side
    299,299.50x = 375,257,625,597.56
  5. Step 5: Solve for x
    x = 375,257,625,597.56/299,299.50
  6. Step 6: Final answer
    x = 1,253,786.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.