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Finding the Third Proportional to 799,467.75 and 1,195,404.75

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Solution

The third proportional to 799,467.75 and 1,195,404.75 is: 1,787,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,467.75 : 1,195,404.75 = 1,195,404.75 : x
  2. Step 2: Convert to fraction form
    799,467.75/1,195,404.75 = 1,195,404.75/x
  3. Step 3: Cross multiply
    799,467.75x = 1,195,404.75 × 1,195,404.75
  4. Step 4: Simplify right side
    799,467.75x = 1,428,992,516,322.56
  5. Step 5: Solve for x
    x = 1,428,992,516,322.56/799,467.75
  6. Step 6: Final answer
    x = 1,787,429.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.